What is the are of the shaded region?

What is the are of the shaded region? class=

Verified Answer :

Shaded area = Area of circle - 2(area of one triangle)

The circle has radius 5 cm, so its area is \(\pi 5^2=25\pi\)

The triangle has a base of 6 cm. Two of its legs coincide with the radius of the circle, which means the height of the triangle must be 5 - 1 = 4 cm. So one triangle's area would be \(\dfrac12\times6\times4=12\).

Shaded area = \(25\pi-2(12)=25\pi-24\).