GATE 2021 Civil Engineering (Set 2, Q9): Probability of Point in Shaded Square Area

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Civil Engineering > GATE 2021 SET-2 > Probability

In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at S and Q. The probability that any point picked randomly within the square falls in the shaded area is

A

4 - π / 2

B

1 / 2

C

π / 2 - 1

D

π / 4

Correct : c

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