If the circumference of a circle is 45 cm longer than its diameter, then what is its area?
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Answer:
128.95 cm^2
Explanation:
Circumference = 2πr
Let Circumference = X
Therefore, Diameter = 45-X
Therefore, 2r = 45-X
Therefore, r = 45-2πr
Therefore, r = 45/(1+2π)
Area = πr^2 = π*[45/(1+2π)]^2
=> π*[2025/(1+4π^2+4π)]
=> π*[2025/52.56]
=> 38.52*π
=> Approx. 128.95cm^2
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