Find the area of a circle

Geometry Level 1

If the circumference of a circle is 20 π 20 \pi , what is its area?

40 π 40\pi 100 π 100\pi 60 π 60\pi 120 π 120\pi

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1 solution

Munem Shahriar
Feb 7, 2018

We know that, C = 2 π r C =2 \pi r

2 π r = 20 π 2 \pi r = 20\pi

2 r = 20 2r = 20

r = 10 r = 10

Now the area of the circle is:

A = π r 2 A = \pi r^2

A = π 1 0 2 A = \pi 10^2

A = π 100 A = \boxed{\pi 100}

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