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Question

In the given figure, AOBCA represent a quadrant of area 9.625 cm2. Calculate the area of the shaded portion.
1315020_54b2316f210b4f4c8e13f50a8c3c3996.png

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Solution

In the given figure, DOA is a triangle with base 3.5 cm and altitude 2 cm.
It is given that the area of the quadrant AOBCA is 9.625 cm2.
To find out: Area of the shaded region.

Area of the shaded region = Area of quadrant AOBCA Area of DOA
We know that, area of a triangle =12×b×h

Area of DOA=12×3.5×2=3.5 cm2

Area of the shaded region =9.6253.5=6.125 cm2

Hence, the area of the shaded region is 6.125 cm2.

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