3. Find the area of the shaded portion in the
given
figure, given that AB and CO are diameters,
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Answer:
Radius of larger circle, R=7 cm
Radius of smaller circle, r=
2
7
cm
Height of ΔBCA=OC=7 cm
Base of ΔBCA=AB=14 cm
Area of ΔBCA=
2
1
×7×14=49 cm
2
Area of larger circle =πr
2
=
7
22
×(7)
2
=154 cm
2
Area of larger semicircle =
2
154
=77 cm
2
Area of smaller circle =πr
2
=
7
22
×(
2
7
)
2
=
2
77
cm
2
Area of the shaded region = Area of larger circle − Area of triangle − Area of larger semicircle + Areaof smaller circle
Area of the shaded region =154−49−77+
2
77
=
2
133
=66.5 cm
2
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