Exams › SSC CGL (Prelims) › General

A circular disc of radius 6 cm is inscribed in a square. What is the approximate area of the remaining portion of the square?

1. 28.30 cm²
2. 45.75 cm²
3. 30.96 cm²
4. 72.50 cm²

Correct answer: 30.96 cm²

Solution

Since the circle is inscribed in the square, the square’s side is the diameter = 12 cm. Area of square = 12² = 144 cm², and area of circle = \(\pi \times 6^2 \approx 113.04\) cm². Remaining area = 144 − 113.04 = 30.96 cm².

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