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Find the Circumference of a Circle Whose Area is 301.84 Cm2. - CBSE Class 10 - Mathematics

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Question

Find the circumference of a circle whose area is 301.84 cm2.

Solution

Area of circle = 301.84 cm2.

et radius = r cm

Area of circle = 𝜋r2

𝜋r2 = 301.84

`22/7xxr^2` = 301.84

`r^2 = (301.84×7)/22 = (sqrt(7 × 7))^(1/2) × 13.75`

`r = sqrt(13.72 × 7) = sqrt(7 × 7 × 1.96) = 7 × 1.4 = 9.8` cm

Radius = r = 9.8 cm

Circumference = 2 × r = 2 ×`22/7`× 9.8

= 44 × 1.4

= 61.6 𝑐𝑚

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Solution Find the Circumference of a Circle Whose Area is 301.84 Cm2. Concept: Perimeter and Area of a Circle.
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