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  • 13-04-2017
  • Mathematics
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If a circle has a circumference of 10piπ ​cm, what is its​ area?

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  • 13-04-2017
Circumference of a circle formula: c=2πr where
c = circumference
r = radius

So here, we have c= 10π.

Divide 10 by 2 and we get a radius of 5; c=2π(5).

Area of a circle formula: a = πr² where
a = area
r = radius

Plug in 5 for radius.

a = (5²)π
a = 25π
a ≈ 78.5398

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