In the figure, PQR ia a right angled triangle right angled at P . Semicircles are drawn with PQ PR QR as diameter . If PQ =6cm PR=8vm then area of the shaded region is
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Answer:
Area of circle with QR as diameter =π(52)2=25π2㎠
Area of semi circle with diameter PR
=π(42)2=8π㎠
Area of semi circle with PQ
diameter
=π(32)2=9π2㎠
Area of triangle PQR=12×6×8=24㎠
Area of shaded regions=(8π+9π2+24)−(25π2)=12.5π+24−12.5π=24㎠
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