Find the areas of the shaded regions of following geometrical figures. Here A and B are the centres of the semicircles. AB = 16 cm, and AB is the perpendicular distance between PQ and SR. 07 0 14 cm
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Answer:
In right angle triangle ACB,
AB2=AC2+BC2=(12)2+(16)2=144+256=400
AB=400=20m=Diameter
Radius =220=10m
Arc length ACB =21×2πr=21×2×3.142×10=31.42m
Perimeter of shaded region =31.42+12+16=59.42cm
Area of shaded region =21πr2−21×AC×CB=21(3.142×102−12×16)
=21(314.2−192)=21×122.2=61.1
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The area will be half of the whole circle's area.
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