Q8 of 157 Page 819

Find the area of a circle whose circumference is 8π.

Given:

Circumference of circle = 8π


∵ Circumference of a circle = 2πr


∴ 8π = 2πr


r = 4


∵ Area of circle = πr2


∴ Area of circle = π × 4 × 4


= 16π


Hence, the area of the circle is 16π.


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