A circle has a sector with area of 20pi and a central angle of 2/5 pi radians what is the area of the circle

100π  =  Area of the circle

Step-by-step explanation:

Let the unknown area of the circle be A = πr².  To find A, we have to find the circle radius r first.

The known sector area (A = 20π) is a fraction of the total circle area:

 (2/5)π

A = 20π           or (after reducing the fraction)   A/5 = 20π

    2π

Multiplying both sides by 5 yields A = 100π  =  Area of the circle

answer

false

explanation

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i believe the answer is 323 ft

step-by-step explanation: