SOLUTION: the difference between the circumference and the radius of a circle is 37cm. Find the area of the circle ?

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Question 838452: the difference between the circumference and the radius of a circle is 37cm. Find the area of the circle ?
Answer by lwsshak3(11628) About Me  (Show Source):
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the difference between the circumference and the radius of a circle is 37cm. Find the area of the circle ?
***
circumference=2πr
2πr-r=37
r(2π-1)=37
r=37/(2π-1)
..
area=%28pi%29r%5E2=%28pi%29%2837%2F%282pi-1%29%29%5E2=1369pi%2F%284pi%5E2-4pi%2B1%29≈154.09 cm^2