The difference between the circumference and diameter of a circle is 75cm. Find the area of the circle
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Given:
Circumference - diameter =75
2πr - 2r = 75
2r(π-1) = 75
2r(22/7-1) =75
2r(22-7) = 75*7 (by taking LCM)
r(15) =75*7/2
r = 525/30
r = 17.5
Now,
Area=πr^2
Area = 22/7*17.5*17.5
Area = 22/7*306.25
Area = 6737.5/7
Area = 962.5
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