Exams › SSC CGL (Prelims) › General

A circular disc of radius 6 cm is inscribed in a square so that it just touches all four sides. What is the approximate area of the square that is left uncovered by the disc?

1. 28.30 cm^2
2. 45.75 cm^2
3. 30.96 cm^2
4. 72.50 cm^2

Correct answer: 30.96 cm^2

Solution

Since the disc is inscribed, the square's side equals the diameter, 12 cm, so its area is 144 cm^2 and the circle's area is about 113.04 cm^2. The leftover area is 144 - 113.04 = 30.96 cm^2.

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