Find the area of a circular sector if the degree measure of its arc is 120 ° and the radius of the circle is 12 cm.

A circle is an area on a plane located inside a circle.

A sector of a circle is a part of it, bounded by an arc and radii.

To calculate the area of a circular sector, apply the area formula through an angle:

S = πr2α / 360º, where:

S is the area of the circular sector;

r is the radius of the circle;

α is the central angle;

π – 3.14.

The degree measure of the central angle is equal to the degree measure of the arc on which it rests.

S = 3.14 · 122 · 120/360 = 3.14 · 144 · 120/360 = 54259.2 / 360 = 150.72 cm2.

Answer: the area of the circular sector is 150.72 cm2.