Find the area of a circular sector if the degree measure of its arc is 150 ° and the radius of the circle is 10 cm.

We know well from the current school geometry course that the area of a circle can be calculated using the following formula:

S = πR ^ 2.

Let us find out what value the area of the specified circle will correspond to, when from the condition of our problem we know for sure that its radius is 10 centimeters:

3.14 * 10 ^ 2 = 3.14 * 100 = 314.

Let’s find out what value the area of our sector will correspond to when it is known that the angle is 150 °:

314 * 150/360 = 314 * 5/12 = 130.8 (3).

Answer: 130.8 (3) cm2.