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Question

In figure , BC is a diameter of the circle, AC = 6cm and AB = 8 cm. Find the area of the shaded region. (use π=3.14)

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Solution

Given: AC = 6 cm and AB = 8cm

We know that, angle in a semi circle is 90.

A=90

In right angled ΔACB, use Pythagoras Theorem

BC2=AC2+BA2

BC2=62+82=36+64

BC2=100

BC=10 cm

Area of ΔABC=12×AB×AC=12×8×6=24 cm2

Here, diameter of circle, AB = 10 cm

Radius of circle r=102=5 cm

Area of circle =πr2=3.14×(5)2

=3.14×25=78.5 cm2

Area of the shaded region = Area of circle - Area of ΔABC

78.524=54.5 cm2


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