isi-entrance 2023 Q22

isi-entrance · India · UGA Circles Area and Geometric Measurement Involving Circles

In the following figure, $O A B$ is a quarter-circle. The unshaded region is a circle to which $O A$ and $C D$ are tangents. If $C D$ is of length 10 and is parallel to $O A$, then the area of the shaded region in the above figure equals
(A) $25 \pi$.
(B) $50 \pi$.
(C) $75 \pi$.
(D) $100 \pi$.

In the following figure, $O A B$ is a quarter-circle. The unshaded region is a circle to which $O A$ and $C D$ are tangents. If $C D$ is of length 10 and is parallel to $O A$, then the area of the shaded region in the above figure equals\\
(A) $25 \pi$.\\
(B) $50 \pi$.\\
(C) $75 \pi$.\\
(D) $100 \pi$.

Paper Questions

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