Calculate the length of the arc of the circle, if the radius is 10 cm, the angle alpha is 150 degrees. Find the area of the sector.

Let us determine through what number of centimeters the length of the arc of our circle will be expressed, when from the condition of the task we know that its radius is ten centimeters, and the angle on which it rests is 150 °:

150/360 * (2 * 3.14 * 10) = 5/12 * 20 * 3.14 = 26.1 (6).

Answer: The length of the arc will be equal to 26.1 (6) centimeters.

Let us determine through what number of square centimeters the area of the sector will be expressed:

150/360 * (3.14 * 10 * 10) = 130.8 (3).

Answer: Sector area = 130.8 (3) cm2.