Discussion of Question with ID = 044 under Areas

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Question

A largest possible circle is cut out of a square sheet having a side of 18 meter. What is the area of the hollow sheet?

A

324 - 81π sq. m.

B

18 + 162π sq. m.

C

18 + 6561π sq. m.

D

324 - 40.5π sq. m.

Soln.
Ans: a

The radius of the circle is 18/2 = 9 m. So its area = π × 9 × 9 = 81π sq. m. The left area is $18^2 - 81$π = $324 - 81$π sq. m.


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