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Question

Quantitative Ability and Data Interpretation Question on Trigonometry

Two circles P and Q, each of radius 2 cm, pass through each other’s centres. They intersect at points A and B. A circle R is drawn with diameter AB. What is the area of overlap (in square cm) between the circles R and P?

A

8π3−23\frac{8\pi}{3}-2 \sqrt{3}

B

8π3\frac{8\pi}{3}

C

8π3−3\frac{8\pi}{3}- \sqrt{3}

D

17π6−23\frac{17\pi}{6}- 2\sqrt{3}

E

17π6−3\frac{17\pi}{6}- \sqrt{3}

Answer

17π6−3\frac{17\pi}{6}- \sqrt{3}

Explanation

Solution

The correct answer is option (E):17π6−3\frac{17\pi}{6}- \sqrt{3}