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A B C is a right-angled triangle with...

`A B C` is a right-angled triangle with right angle at `B` . If the semi-circle on `A B` with `A B` as diameter encloses an area of 81 sq. cm and the semi-circle on `B C` with `B C` as diameter encloses an area of 36 sq. cm, then the area of the semi-circle on `A C` with `A C` as diameter will be (a) 117 cm2 (b) 121 cm2 (c) 217 cm2 (d) 221 cm2

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