Find the area of the circular sector if the degree measure is 150 and R = 6.

As we know from the school curriculum, the area of a circular sector can be calculated using the following formula:

S = πr ^ 2 * (a / 360), where a is the value of the central angle of the desired sector.

Let us determine what value the area of the circular sector will equal if from the condition of our problem we know for sure that the value of the central angle is 150 °, while the radius is 6:

S = 3.14 * 6 ^ 2 * (150/360) = 3.14 * 36 * 15/36 = 47.1.

Answer: Under such conditions, the area is equal to sector 47.1.