From a circular sheet of a radius 14 cm, a circle of radius 7 cm is removed. Find the area of the remaining sheet.
A
442 cm2
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B
452 cm2
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C
462 cm2
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D
472 cm2
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Solution
The correct option is C 462 cm2 The area of the remaining sheet = Area of the original sheet - area of the circle cut out. Area of a circle = πr2 Now, area of the original circle = π x 142 = 227 x 14 x 14 = 22 x 2 x 14 = 616 cm2 Area of the cut out circle = π x 72 = 227 x 7 x 7 = 22 x 7 = 154 cm2 So, the area of the remaining sheet = 616 cm2 - 154 cm2 = 462 cm2.