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
78.5−24=54.5 cm2