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The adjoining figure is made up of a triangle inscribed in a semi-circle inwhich AB= 20 cm, BC 15 cm and angle B is a right angle. Find the area ofshaded region. |
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Answer» Since ∆ABC is right angled at B , AC² = AB² + BC² = 15² + 20² = 25²AC = 25cm = 2r r = 12.5cmArea of semicircle : πr²/2 = 245.3 cm²Area of ∆ABC : 1/2 * 20 * 15 = 150 cm²Area of shaded region : 245.3 - 150 = 95.3 cm² In book, answer is 341.07 |
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