Circumference of a Circle Formula The distance around a closed curve is called as the circumference of the circle. It is also defined as the length around the circle. The circumference of a circle is measured in linear units like inches or centimeters. Circumference of a Circle Formula The formula of circumference of a circle is given by the following formula, Circumference, C = 2 * π * r where, r is the radius of the circle. and pi is a constant value and is equal to 3.14 The circumference of a circle can be calculated by its diameter using the following formula: Circumference, C = π * D Where, value of π is a constant and its value is approximately 3.14159265358979323846.... or 22/7 to be more precise and D is the diameter of the circle. To simplify calculations the value of π is rounded to 3.14. The diameter of a circle is twice its radius. Therefore, Circumference, C = 2 π r Know More About What is the Pythagorean Theorem
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Circumference of a Circle Examples Below are the examples on circumference of a circle Example 1: Find the circumference of a circle given that its radius is 10. Solution: The circumference is always multiply by 2 the length of the radius, Formula Circumference of circle = 2 r Circumference = 2 x 10 x = 62.8 Example 2: Find the circumference of a circle known that area of the circle is 153.86 Solution: Step 1: Find the radius of the circle . r2 = 153.86
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r2 = r2 = 49 R=7 Step 2: Then calculate the Circumference of circle, Circumference of circle = 2 r =2*7* = 43.96 Therefore, the circumference of the circle is 14. Example 3: Find the circumference of a circle known that its radius is 16 Solution: The circumference is always multiply by 2 the length of the radius, Circumference of circle = 2 r Circumference = 2 x 16 x = 100.48
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Formula for Area of a Circle The total space inside the boundary of the circle is called as the area of the circle. Area is measured in terms of square unit. Area of a circle can be found if the radius of the circle is given with the help of the area of a circle formula. Area of a Circle Formula Area of a circle is the number of square units inside that circle. Area of a Circle formula is (A) = π.r2 Where r is the radius. Alternate formula for the area is, A = π.d2/4, Where d is the diameter. How to Find the Area of a Circle Students can learn How to Find the Area of a Circle by observing the steps followed in the below given solved examples: Example 1: Find the area of a circle with radius as 5 cm
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Solution: Given radius (r) = 5cm Area of a circle= π.r2 Here, r = 5cm. Therefore, we have 3.142 * 5 * 5 = 78.5398 sq cm If the diameter of a circle is given, we can either compute radius from diameter and utilize the same formula as above or use the diameter version of the area formula Example 2: The Area of a circle with diameter as 8cm is: Solution: Area of the circle = π.d2/4 = 3.142 * 8 * 8/4 = 50.265 sq cm.
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