What is the area of the sector that is not shaded?
12, 24, 120, 144

Solution:

We know that

In a circle there are 360° and the area = πr²

In the figure, the angle of the shaded part = 360 - 60 = 300°

As the area of a circle is πr² and the section is 300° = 300/360 = 5/6

Area of unshaded region = 5/6 πr²

Substituting the value of radius

Area of unshaded region = 5/6 π(12)²

So we get

= 120π unit²

Therefore, the area of the sector is 120π unit².

What is the area of the sector that is not shaded?

Summary:

The area of the sector that is not shaded is 120π unit².