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A square is inscribed in a circle and another circle is inscribed in the square in such a way that it touches the sides of square. If the radius of smaller circle is 14√2 cm, then find the circumference of the larger circle.
176 cm
154 cm
77 cm
88 cm
144 cm
- Let the radius of the smaller circle be 14v2 cm.
- The diameter of the smaller circle equals the side of the square, as it touches all sides.
- Thus, the side of the square is 28v2 cm (double the radius).
- The diagonal of the square, which is the diameter of the larger circle, is calculated using the formula: side × v2.
- Therefore, the diagonal is 28v2 × v2 = 28 × 2 = 56 cm.
- Circumference of the larger circle = p × diameter = p × 56 cm.
- Using p ˜ 22/7, the circumference ˜ (22/7) × 56 cm = 176 cm.
- ? Option 1: 176 cm is correct.
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By: Parvesh Mehta ProfileResourcesReport error
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