Find area of the shaded region, if side of the square ABCD is 20 cm -
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408.5 cm² 298.5 cm² 228.5 cm² 658.5 cm² |
228.5 cm² |
Radius of circle (r) = \(\frac{1}{2}\) × diagonal of ABCD = \(\frac{1}{2}\) × 20\(\sqrt{2}\) = 10\(\sqrt{2}\) Area of shaded region = Area of circle - Area of square = \(\pi\)(r)² - (side)² = \(\pi\)(10\(\sqrt{2}\))² - (20)² = \(\frac{4400}{7}\) - 400 = \(\frac{4400\;-\;2800}{7}\) = \(\frac{1600}{7}\) = 228.5 cm² |