What is the area of a sector that has a radius of 25 mm and has an angle measure of 50°?

Answer 1

There is a smart way and a silly way to do this. The silly way is to follow a formula. The smart way is to do a proportion to a full circle.

Area of a circle=pir^2, a sector is a piece of that based on the degrees. The degrees of a full circle is 360.

pi(25)^2/360 = x/50

Solve for x.

Answer 2

radius of 25 mm and has an angle measure of 50°

Area of a circle: πr² = π(25)² = 625π

Portion of a circle with sector of size 50° = 50/360 = 0,13889

Area of sector is 0.13889 x 625π = 86.8056π = 272.708