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A circular disc of radius 28 cm fits exactly inside a square frame, touching all four sides. Find the area of the leftover square region not covered by the disc.

1. 672 cm^2
2. 698.67 cm^2
3. 625.33 cm^2
4. 710 cm^2

Correct answer: 672 cm^2

Solution

The square's side equals the disc's diameter, 56 cm, so its area is 3136 cm^2. The disc's area is (22/7) x 28^2 = 2464 cm^2. The uncovered area is 3136 - 2464 = 672 cm^2.

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