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A circular medallion of radius 28 cm is fitted perfectly inside a square box. Find the area of the unused square space around the circle.

1. 672 cm²
2. 698.67 cm²
3. 625.33 cm²
4. 710 cm²

Correct answer: 672 cm²

Solution

Since the circle fits perfectly inside the square, the square’s side is the diameter, i.e. 56 cm. Square area = \(56^2=3136\) cm² and circle area = \(\pi r^2 = \frac{22}{7}\times 28^2 = 2464\) cm². The unused area is \(3136-2464=672\) cm².

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