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15. Find the area of the major segment APB in adjoining figure, of a cirele of radius 35 ent and90°"フ |
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Answer» Radius of circle = 35 cm see attachment , you can say that , major segment is the sum of right angled triangle and 3/4 th part of circle { as you know, centre of circle is 360° ,means area of complete circle is πr² , means for 360° , area of circle =πr², so, for 270° , area of circular part = 270°/360° πr² = 3/4 πr²} area of major segment = area of triangle + 3/4 area of circle = 1/2 height × base + 3/4 πr² = 1/2 × r × r + 3/4πr² = r²/4( 2 + 3π)= r²/4 × (2 + 66/7) = 35 × 35/4 × 80/7 = 35 × 5/4 × 80= 35 × 5 × 20 = 3500 cm² Hence, area of major segment is 3500 cm² Like my answer if you find it useful! |
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