In Figure-8, ABCD is a parallelogram. A semicircle with centre 0 and the
diameter AB has been drawn and it passes through D. If
AB = 12 cm and OD 1 AB, then find the area of the shaded region.
(Use a = 3-14)
Figure-8
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Area of the shaded region is 43.74 cm²
Step-by-step explanation:
Area of the shaded region = Area of the parallelogram BCD - Area of the quarter circle
Area of the parallelogram = (Base of the parallelogram) × (Distance between the parallel sides)
= AB × OD
= [Since OD = radius of the semicircle]
=
= 72 cm²
Area of the quarter circle =
=
= 9×(3.14)
= 28.26 cm²
Now area of the shaded region = 72 - 28.26 = 43.74 cm²
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