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Question

Find the areas(in cm2) of shaded regions. [Take π=227]

A
492
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B
352
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C
1194
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Solution

First figure is a rectangle with a circle inscribed in it.
Area of the shaded region = Area of the rectangle Area of the circle.
Area of the rectangle =8×7=56 cm2
Area of the circle =π×72×72
=227×72×72=772 cm2
Area of the shaded region =56772=352 cm2

Second figure is a rectangle with four quarter circles inscribed in it.
Area of the shaded region = Area of the rectangle - (4× Area of one quarter circle)
Area of rectangle =9×7=63 cm2
Area of four quarter circles =4×14×π×72×72=772 cm2
Area of the shaded region =63772=492 cm2

Third figure is a square with a semicircle inscribed in it.
Area of the shaded region = Area of the square Area of the semi-circle.
Area of the square =7×7=49 cm2
Area of the semi-circle =12×π×72×72=774 cm2
Area of the shaded region =49774=1194 cm2


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