In the fig. AB and CD are two perpendicular diameters of a circle with centre O. If OA=7cm, find the area of shaded region.
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Answered by
6
Answer:66.5
Step-by-step explanation:
First find the area of the smaller circle and triangle.
If OA is 7cm, then OB=14cm and OC=OD=7cm. The radius of the smaller circle is 7/2cm.
Area of smaller circle+area of triangle =πr²+1/2×b×h
=22/7×7/2×7/2+1/2×14×7
=49+77/2
=87.5cm²
Now, the area of shaded region=are of larger circle- sum of area of tri. And sm. Circle
=πr²-87.5
=22/7×7×7-87.5
=154-87.5
=66.5cm² ans.
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