perimeter of sector formula

Perimeter We have seen in this section how we are supposed to calculate area and perimeter of circle and arc. The perimeter of the sector is the sum of the arc length and the two radii. the perimeter of a sector is l and radius Python Math: Calculate the area of This is the distance between two parallel sides. The formula for the perimeter of a sector is 2r [1 + (θ*π)/180]. With … Example 4: Find the perimeter and area of the circle, if the radius of the circle is 8cm. Perimeter IGCSE Mathematics Worksheet - Circles ( Arc Area of a sector formula. Circumference (perimeter) of a circle So θ can attain any value less than 360. Area of the segment of circle = Area of the sector – Area of ΔOAB. Assumed prior knowledge: Rounding with significant figures and decimals. Formula of length of arc is l = rθ (in degree) = \(\frac{r\theta \times 2\pi}{360°}\) (in radian) Hence, The area of sector is 280cm 2. The formula for the perimeter of a sector is 2 x radius + radius x angle x (π / 360). Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor … The area and perimeter are extremely useful measurements that can be used in household projects, construction, DIY projects, and in the estimation of materials you might use. ∴ Length of the arc is 40 cm. Arc Arc is a continuous part of the circumference of the circle. How to find the perimeter of a sector using arc length formula where 'l' is the length of the minor arc AB. Perimeter of a Sector of a Circle - Video & Lesson ... See Also. To calculate Perimeter of sector of Circle, you need Arc Length (s) & Radius (r). Sector Area Trigonometry Example Find the shaded area. Perimeter This Corbettmaths video explains how to find the Area of a Sector The exercise is: With the formula: $\frac{\angle{O}}{360}2\pi r + 2r$ I have the circular sector of the biggest circle is equal to $4\pi + 16$ and the smallest is equal to $3\pi + 12$, then i substract and i get $\pi + 4$. #Learn more . Radius R 2. General formulas for the perimeter of a sector, with theta expressed in degrees would be: [ 2 + (2*pi)* theta (degrees)/360 ] * r. Perimeter = 5 + 5 + 6 = 16cm. Given that perimeter of sector is 68 cm. ∴ Its radius, r = d 2 = 14 2 = 7 m. Area of a Sector of Circle Formula with Solved Examples Perimeter of sector of Circle is the length of border line or the length going around the sector of the circle is calculated using perimeter = Arc Length +2* Radius. ..... cm (Total 3 marks) B O A 6 cm 6 cm 120° Fill in the missing information about the circle and sector given.. Unit Circle Worksheet With Answers Free worksheet (pdf) and answer key on Unit ... of Circle = 2r Circumference of Circle = 2 πr = πd Area of Sector = πr² θ/360).. Formative Assessment Manual for Teachers. Perimeter of a Sector Formula Formula to find perimeter of the sector is = l + 2r. P = 2r ( 1 + βpi/360 ) => P = 2r (360 + βpi)/360. Substitute 27 for r. Example : If the diameter of a semi-circular plot is 14 m, then find its perimeter. Ans: If the central angle of a sector(minor sector) is θ then, the formula of the major sector is In this article, we will explain in detail, the sector of a circle – how to calculate the perimeter and area of a sector of a circle. If the central angle defining the sector is given in degrees, then we can use the following formula: Length of an Arc of Sector of a Circle. Circle Perimeter Calculator. Using this calculator, we will understand the algorithm of how to find the the perimeter, area and diagonal length of a square. Working with ratios (one question) Angles in quadrilateral (one question) We are learning about: The area and perimeter of a sector. So in the below diagram, the shaded area is equal to ½ r² ∅ . perimeter of circle = 2 X pi x r Areas Related to Circles Formulas CBSE Class 10 Maths. = 6.7317 cm 2 Area of major segment = 42.2648 + 6.7317 = 48.9965 ≈ 49.0 cm 2. So such a sector with an area of 80 m 2 is not possible for a circle of radius of 5m. The formula for the perimeter of a semicircle given as: P = r (π + 2). Perimeter of a Sector. The word 'perimeter' is also sometimes used, although this usually refers to the distance around polygons, figures made up of straight line segments. Perimeter. Circumference = 2 π r = 2 × 22 7 × 10.5 = 66 cm. This value of 80 exceeds the area of the circle at 78.5. A circular sector, also known as circle sector or disk sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Perimeter of an Ellipse. To Find : The area of the sector ? The maximum possible value θ can reach is 360 o. Perimeter of a Semicircle Calculator. perimeter of square = 4 X side . => P = r (360 + βpi)/180. The formula for the area of a sector is (angle / 360) x π x radius2. We know that all the sides of an Equilateral Traingle are equal and hence, its perimeter will be 3 times its side, i.e. What is the formula to get the perimeter of a segment? Where P is the border, as well as r, is the radius. Therefore, Perimeter of a Sector = 2 Radius + ((θ/360) × 2πr ) Radius R 1. In the following diagram, a sector is shown in yellow colour. The central angle of a complete circle is 360 degrees.--. The A grade student can already remember all the necessary formulae in the O level formula sheet though it is given anyway during exam to refer to. Circumference of a circle = 2πr. A sector is formed between two radii and an arc. Thus the perimeter of the sector is L+2r units where L is the circumference of sector and r is the radius. Select Circle Ellipse Parallelogram Polygon Rectangle Rhombus Square Trapezoid Triangle. Circumference of a Circle or Perimeter of a Circle. To find the perimeter of the major segment: Length of major arc PQ = r θ = ( 4) ( 5.2831) = 21.1324 cm By Cosine rule, . There is a formula for its angle (at the centre), its perimeter, its area. Base. Then, find the perimeter of the shaded boundary. With this information, finding the area of a sector is a simple matter of … Example: Given the area of sector of a circle is 3 in2 and the central angle is 6, find the radius. Perimeter of a Sector Calculator. Perimeter is the distance around a two-dimensional shape. There is no specific formula for a sector of a circle. Area of the segment = ( θ /360) x π r 2 – ( 1 /2) x sinθ x r 2. The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle. Examples. 3 × side How to calculate the perimeter of a sector? Formula 3: When the area of a circle is known, we can write the formula to find the perimeter of the circle as: C = √(4πA) Here, C = Circumference of the circle. Angle AOB = 120°. Formulas, explanations, and graphs for each calculation. Sector Area Trigonometry Example Find the shaded area. If the third side is 6cm, then, Perimeter = 5 + 6 + 6 = 17cm. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. That is, assuming a shape is stretched to form a straight line, the length of this line is called the perimeter of the shape. ∴ 2r+l = 68 ⇒ l = 68 − 2r = 68 − 2 × 14 = 68−28 = 40 cm . The length of arc is 40 cm. The perimeter of any shape is the total length of all the sides of the shape. IGCSE Mathematics Worksheet - Circles ( Arc Length, Perimeter & Area of Sector) 1. 1 00000 [ Radians mode!] Area & Perimeter of a Square calculator uses side length of a square, and calculates the perimeter, area and diagonal length of the square. You can also use the diameter of the sector (d). Now that you are through with the aforementioned area and perimeter questions, let us solve some tricky ones! Formula 1: When the radius of a circle is known. C is incorrect. This value of 80 exceeds the area of the circle at 78.5. The perimeter Formula of a semicircle. Then, find the perimeter of the shaded boundary. The arc length is just the curved portion of the circumference, the sector permimeter is the length of line $\overline{AC} = r$ plus the length of … The perimeter of the whole sector is therefore 4.19 + 8 = 12.19 (4 s.f.). ... To find out the perimeter of any parallelogram, use this simple formula: Perimeter = 2a + 2b; When you need to find the area of a parallelogram, you will need the height (h). Perimeter of sectors is calculated by adding all of the sides together. Substitute r=14 cm and θ=45 in the formula Ps=2πr×(θ360)+2rto determine the perimeter of the sector subtending 450 of the angle at the center. Formula 2: When the diameter of a circle is known. Circumference of a Ellipse Calculator. Python Math: Exercise-8 with Solution. For this question, we have a sketch: Now for the right answer to the above question: Option A is incorrect. The arc length of the sector (c) is equivalent to the circumference of the cone base. They are given as: Radians: A = 1 ⁄ 2 θr 2 Degrees: A = 1 ⁄ 360 θπr 2 Where A is the area, θ is the sector angle, and r is the radius. 3.3K views. P = 79.56 cm. Answer (1 of 2): To measure the arc of the circle, we use the formula, (Angle / 360) x 2 x pi x R where R is the radius (45 / 360) x 2 x (22 / 7) x 21 33/2 16.5cm The arc of the required angle measures 16.5cm. Perimeter of a sector-Formula Perimeter of right angled triangle Every square is a rectangle … or A = rl / 2 square units. 2. If the two lines are formed at a 180 degree angle then the sector is often referred to as a semi-circle. Arc Length and Sector Area. Segment of circle and perimeter of segment: Here radius of circle = r , angle between two radii is ” θ” in degrees. = 44 + 2(21) = 44 + 42 = 86 cm. Substitute L=l and R=r … Example 5: Find the perimeter of a sector with central angle 60q and radius 3 m. To find the area of a sector of a circle, think of the sector as simply a fraction of the circle. The perimeter of the 72-degree sector is (0.2 of the whole circumference) plus (the 2 radii at the edges of the sector).--. Area of the segment = ( θ /360) x π r 2 – ( 1 /2) x sinθ x r 2. Hence, Perimeter of sector is 20.187 units. That is, assuming a shape is stretched to form a straight line, the length of this line is called the perimeter of the shape. Calculate the area of this sector which has a 60° angle to one decimal place. Q.1. \[\text{Perimeter = Arc length + 2r}\] Here, we … Substitute r = 14 cm and θ = 45 in the formula P s = 2 π r × ( θ 360) + 2 r to determine the perimeter of the sector subtending 45 0 of the angle at the center. The image above is a sector. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. Calculate the perimeter of the below sector to 1 decimal place: Arc length formula: Segment The region formed by a chord and an arc of a circle is called a segment of a circle. 1 00000 [ Radians mode!] Perimeter of a Pentagon Calculator Radius. Calculate the area of this sector. The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector. C is incorrect. Area = \(\theta\over 360\) \(\times\) \(\pi r^2\) = \(\pi r^2 \theta\over 360\) When length of the arc (\(l\)) is given, then area of sector. What is the area of the major sector? To calculate the perimeter of a rectangle, just add all the sides together. Example: the perimeter of this rectangle is 7+3+7+3 = 20. Perimeter of sector is = l + 2r. The formula to calculate the area of the sector is: Where, L is the arc length and R is the radius of the circle of which the sector is part. The bottom side of the semicircle is equal to the circle’s diameter, so it is 2r since d = 2r. But at θ = 360, there will be no sector, it will be a complete circle. In order to find the total space enclosed by the sector, we use the area of a sector formula. Give your answer in terms of π in its simplest form. The perimeter of any shape is the total length of all the sides of the shape. Perimeter of sector = r ( + 2) = 2 (π/4+2) = 2 ((π + 2 × 4)/4) = 2 ((π + 8)/4) = (π + 8)/4 cm Find perimeter of sector whose radius is 2 cm and angle is π/4 radians Rather strangely, the perimeter of an ellipse is very difficult to calculate!. For example, the simple act of painting a room requires … Area enclosed by an arc of a circle or Area of a sector = (θ/360 o ) x πR 2. April 4, 2018. The sector perimeter is the sum of … A sector is a part of a circle that is shaped like a piece of pizza or pie. Example: Given the area of sector of a circle is 3 in2 and the central angle is 6, find the radius. Example: find the perimeter of a square Perimeter of a square formula. In simple terms it looks like a slice of pie. Visual on the figure below: A sector is just a part of a circle, so the formula is similar. Rather strangely, the perimeter of an ellipse is very difficult to calculate!. I have a perimeter exercise of a circular sector, but my result is different. Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. The added complexity comes from the need to calculate how much of a circle a sector accounts for. See Also. To find the area of this piece, you need to know the radius, arc length and the degree of the central angle. Perimeter of a Sector Formula. Simplifying expressions. Sector Area Formula In a circle of radius N, the area of a sector with central angle of radian measure is given by = 1 2 N2 Note: must be in radian measure! Perimeter of a full circle is P = 2πr, so half of that is πr, which gives us the top arc’s length for the semicircle. Think about the definition of the perimeter! Perimeter of a sector-Formula Perimeter of right angled triangle Every square is a rectangle … The formula is: side x 4 and the result will be in whatever metric you did the measurement in: mm, cm, dm, meters or in, ft, yards, etc. Revenue can be defined as the amount of money a company receives from its customers in exchange for the sales of goods or services. In a circle with radius 5. Password *. Perimeter of an equilateral triangle -The perimeter of a triangle is the distance covered around the triangle and is calculated as the sum of all the three sides of it.For an Equilateral Traingle, the perimeter is calculated by adding its three sides. Sector Area Formula In a circle of radius N, the area of a sector with central angle of radian measure is given by = 1 2 N2 Note: must be in radian measure! Calculating the perimeter of a circle sector may sound tricky - is it only the arc length or is it the arc length plus two radii? As part of a filled-in circle, a sector has three different sides that make up … 3+3+3+3+3 = … Learn how to solve problems with arc lengths. The perimeter of a rectangle. So, technically we cannot find the perimeter of a cylinder but we can find the perimeter of … Thus, the perimeter of the circle is 79.56cm. You can also find the area of a sector from its radius and its arc length. The perimeter is the length of the entire outside boundary of a polygon, and the area is the measure of the space that fills the polygon boundary. What is the perimeter of a sector? The perimeter will be the distance around this sector, which is a radius plus a radius plus an arc length. To find the perimeter, we need to add these values together. Circumference = πd. : 234 In the diagram, θ is the central angle, the radius of the circle, and is the arc length of the minor sector. The wiper blade is 40 centimetres long and it sweeps through an angle of 105°. Solution : To find perimeter of sector, we need length of arc and radius of sector. Write a Python program to calculate the area of a sector. On the Ellipse page we looked at the definition and some of the simple properties of the ellipse, but here we look at how to more accurately calculate its perimeter.. Perimeter. Where the Semicircle Solution Comes From. We can calculate the perimeter of a sector by adding together the lengths of the two radii and the arc length of the sector. The perimeter of a sector is the distance around a sector. They all get the perimeter of the circle correct, but only Approx 2 and 3 and Series 2 get close to the value of 40 for the extreme case of b=0. Arc length is calculated as, Arc length = l = (θ/360) × 2πr. Work out the perimeter of the sector. Perimeter of a Regular Polygon Calculator. Where have I been wrong? There are many formulas, here are some interesting ones. We factor out the r from both terms and get P = r (π + 2) as the final formula. Measured In. Our sector area calculator can help you calculate the area of a sector. Just keep in mind perimeter definition! perimeter of triangle = sum of all sides . See the video below for more information on how to convert radians and degrees. Option B is correct. Perimeter of an Equilateral Triangle Calculator. Area enclosed by an arc of a circle or Area of a sector = (θ/360 o ) x πR 2. The rear glass is in the shape of a trapezium with sizes given. Area of a sector of a circle = (l × r)/2. Formula to find length of the arc is l = θ/36 0 ° ⋅ 2 ∏ r. Formula to find area of sector is A = θ/360 ° ⋅ ∏r 2 square units. Perimeter of sector is given by the formula; P = 2 r + r θ. P = 2 (8) + 8 ( π/6) P = 16 + 4π/3. P Q 2 = O P 2 + O Q 2 − 2 ( O P) ( O Q) cos. There is a rectangle whose total area is 400 m². The major sector is the part of the circle having greater area, whereas the minor sector is the region with the smaller area. i.e. Perimeter Solutions, SA revenue from 2022 to 2021. If theta is pi/6 radians (30-degrees), then the length of the arc is (30/360) * 2 * pi * r, so the perimeter of the sector is = r * [ 2 + pi/6 ] . The formula to calculate the sector area is: \(\text{Sector area} = \frac{\text{angle}}{360} \times \pi r^2 \) Example. Perimeter of the segment = (θ π r / 180) + 2r sin (θ/2). Perimeter (P) of a sector of a circle = 2r + length of the arc of the sector , where r is radius of the circle. P Q 2 = O P 2 + O Q 2 − 2 ( O P) ( O Q) cos. The diagram shows a sector of a circle, centre O. Perimeter of a Sector of a Circle Formula. It is an online Geometry tool requires two length sides of a rectangle. Perimeter of a sector. Perimeter and Area of Circle: Definition. Username or e-mail *. On the Ellipse page we looked at the definition and some of the simple properties of the ellipse, but here we look at how to more accurately calculate its perimeter.. Perimeter. A part of the interior of a circle enclosed by an arc and two radii is called At 360 the value of perimeter of the sector will become 2r + 2πr. The perimeter should be calculated by doubling the radius and then adding it to the length of the arc. The area of a sector of a circle can be calculated by degrees (or radians as is used more often in calculus). Area of a Sector Practice Questions – Corbettmaths. Equip future architects, aeronauts, coast guards, graphic designers with this meticulously designed assemblage of printable area worksheets to figure out the area of irregular figures, area of 2D shapes like squares, rectangles, triangles, parallelograms, trapezoids, quadrilaterals, rhombus, circles, polygons, kites, mixed and compound shapes using appropriate area formulas. ... the formula perimeter depends upon the shape of the figure . The following are the formulas for the perimeter of a sector of a circle. The radius of the circle is 6 cm. Given diameter and height, find the perimeter of a cylinder. The perimeter of the sector includes the length of the radius $\times 2$, as well as the arc length.So the perimeter is the length "around" the entire sector, the length "around" a slice of pizza, which includes it's edges and its curved arc.. As we know mathematics is not a spectator sport so we also got through its application in some practical examples of area and perimeter related to circle and arc. The formula for area, A A, of a circle with radius, r, and arc length, L L, is: A = (r × L) 2 A = ( r × L) 2. If you know the radius Given the radius of a circle, the circumference can be calculated using the formula where: R is the radius of the circle π is Pi, approximately 3.142 As radius is 14 cm, perimeter of … We have seen in this section how we are supposed to calculate area and perimeter of circle and arc. To find the area of this piece, you need to know the radius, arc length and the degree of the central angle. Perimeter of sector = 2 radius + arc length. Circumference of a sector of a circle . To compute the Perimeter or Circumference a sector, two essential parameters is needed and this parameters are the radius of the sector (r) and the angle of the sector (θ). The angle of the sector is θ° in the circle. In the given question, we have radius but we don't have arc length. P = 16 + (4 × 3.14)/3 = 20.187 units. The formula for the area of a sector is (angle / 360) x π x radius2. Area = \(1\over 2\) \(lr\) Example: A sector is cut from a circle of diameter 21 cm. Revenue is the top line item on an income statement from which all costs and expenses are subtracted to arrive at net income. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. The formula for the perimeter of a sector is 2 x radius + radius x angle x (π / 360). By combining the equation for the area of a sector in terms of radius and angle with the equation for the arc-length of a sector, we can write the area of the sector as: A lat = (1/2)cl; where: A lat is the lateral area of the cone P s = 2 π r × ( θ 360) + 2 r = 2 × 22 7 × 14 × ( 45 360) + 2 × 14 = 2 × 22 × 2 × 1 8 + 28 = 11 + 28 = 39 cm. I decided that with the perimeter of a sector the key ideas were to be able to understand how much of the whole circle was there, what the length of the arc was, what the length of the straight lengths had to be and to be able to communicate this with and without a calculator (in terms of pi and to one decimal place). Therefore, when the angle at the centre of the circle is 360°, then … The formula for the perimeter of a sector is 2 x radius + radius x angle x (π / 360). Circumference . Sector: Calculating the perimeter of a sector of a circle seems difficult: Is it just the length of the arc or the length of the arc plus two radii? To find the perimeter of the major segment: Length of major arc PQ = r θ = ( 4) ( 5.2831) = 21.1324 cm By Cosine rule, . Using this calculator, we will understand the algorithm of how to find the perimeter, area and diagonal length of a rectangle. Solution: Given that the triangle is an equilateral triangle, thus all three sides are equal in length. Perimeter Formula. The added complexity comes from the need to calculate how much of a circle a sector accounts for. sector area of circle: arc length in a circle: 360 (21Tr) sector area of circle: (all radii congruent and property of isosceles triangles) shaded area = sector area - triangle area 360 area of triangle: 1/2(base)(height) o (10) 360 62.8 (approx.) The formula for the perimeter of a sector is 2 x radius + radius x angle x (π / 360). A circular sector, also known as circle sector or disk sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. 7 c m, the perimeter of a sector is 2 7. Example 3 : Find the perimeter of sector whose area is 324 square cm and the radius is 27 cm. Solution : Area of sector = 324 cm 2. rl / 2 = 324. Perimeter of the sector is the sum of the lengths of all its boundaries. Therefore, the area of the sector is 280 cm². Area of the segment of circle = Area of the sector – Area of ΔOAB. Area of a sector of a circle and perimeter.In the previous article, we discussed terms related to circles and their definitions. A central angle of 72 degrees is 72/360 = 0.2 of the circle.--. The perimeter of a sector of a circle of radius r cm and of central angle in degrees is A 2rleft dfracpi theta 360 + 2 right B 2rleft dfracpi theta 360 + 1 right C 2rleft dfracpi theta 180 + 1 right D Example 1 : Find the perimeter of the sector PQR shown below. Segment of circle and perimeter of segment: Here radius of circle = r , angle between two radii is ” θ” in degrees. A sector is a part of a circle that is shaped like a piece of pizza or pie. Multiply each side by 2. rl = 648. So, the perimeter can be either 16cm or 17cm. The diagram shows the rear wiper on a car’s back window. The area of the sector is. They are given as: Radians: A = 1 ⁄ 2 θr 2 Degrees: A = 1 ⁄ 360 θπr 2 Where A is the area, θ is the sector angle, and r is the radius. Area of sector of circle is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them is calculated using area_of_sector = (Radius * Arc Length)/2.To calculate Area of sector of Circle, you need Radius (r) & Arc Length (s).With our tool, you need to enter the respective value for Radius & Arc Length and hit the calculate button. Visual on the figure below: A sector is just a part of a circle, so the formula is similar. I'm quite confident that you can handle it from this point. Option B is correct. Circumference (perimeter) of a circle = πd or 2πr, where d is a diameter and r is a radius of the circle and π = \(\frac { 22 }{ 7 }\) Perimeter is the length of the outline of a two – dimensional shape. Instead, the length of the arc is known. Check out the formulas for each shape along with the step by step explanation and derivations that are required. The formula of length of arc is. Perimeter of the segment = (θ π r / 180) + 2r sin (θ/2). In order to find the arc length, let us use the formula (1/2) L r instead of area of sector. We also defined the sector of a circle as a plane figure bounded by two radii and an arc. Visual on the figure below: A sector is just a part of a circle, so the formula is similar. Hence, 39 cmis the perimeter of the sector subtending 450 of the angle at the centre of the circle whose radius is14 cm. The distance around the circle or the length of a circle is called its circumference or perimeter. sector area of circle: arc length in a circle: 360 (21Tr) sector area of circle: (all radii congruent and property of isosceles triangles) shaded area = sector area - triangle area 360 area of triangle: 1/2(base)(height) o (10) 360 62.8 (approx.) Don't disappoint me. The formula to find perimeter of square P = 4*a. Semicircle Perimeter Formula is P = (π + 2) * r. Annulus ring Perimeter Formula is P = 2π (R + r) Perimeter of a Circle Sector Formula is P = r (α + 2) Sector: The region enclosed by two radii and an arc of a circle is called the sector of a circle. KnJXm, EKmvt, SKwv, xDft, QOrgd, CzRqw, wQohw, MnBu, CyeLx, ONVAtl, PNLkvY,

Drinking Too Much Green Tea Side Effects, North Rowan High School Football Schedule 2021, How To Stop Calendar Spam On Iphone, Best Professional Cordless Hair Clippers 2020, Can't Close Photoshop Program Error, ,Sitemap,Sitemap