Question

# pls help guys

ABCD is a diameter of a circle of radius 6 cm such that AB=BC=CD. Semicircles are drawn on AB and BD as diameter, as shown in the given attachment. Find the area of shaded region.

# want full solution....
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Answer 1

Area of AB as diameter semi circle = pie ( AB/2)^2/2



As AB + BC = AC = radius = 6

AB = BC

2AB = 6

AB= 3

So Area = pie ( 3/2)^2 /2= pie × 9/8

Area of BD as diameter circle

Now BC is it radius which is AB

So Area = pie ( 3)^2/2 = 9/2 Pie

Area of Ad as diameter semicircle = pie ( 6)^2/2

= 18 pie

So area of shaded = 18 pie - 9/2 pie + 9/8 pie

= 144 pie - 36 pie + 9 pie )/8

= 117 pie/8 = 45.92