Question

The central angle of a sector is 60 and the area of a circle is 144 pi. what is the area of the sector?

Answer 1

Area of circle =pi*r^2=144 pi

Area of sector=60°/360°*pi*r^2

=144pi/6

=24pi

This is the area.

Remember the formula of sector:

angle given/360°*pi*r*r

Answer 2

Given:

Area of the circle=144 pi

Central angle=60°

To find:

The area of the sector

Solution:

The required area is 24π square units.

We can obtain the area's value by multiplying it by the central angle and dividing it by the complete angle.

The area of the sector=central angle/complete angle×circle's area

Using the values, we get

=60°/360°×144 π

=1/6×144π

=24π

Therefore, the required area is 24π square units.