# Find the Circumference of a Circle Whose Area is 301.84 Cm2. - Mathematics

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

#### Solution

Area of circle = 301.84 cm2.

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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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Exercise 13.1 | Q 2 | Page 12