Question

PLEASE HELP ME WITH THIS MATH PROBLEM

Answer 1

22π

Explanation:

The area formula for a sector is

`A=(\theta )/(360)*\pi  r^2`

The angle theta is to be the angle that is a part of the sector for which we are trying to find the area. If we are looking for the area of the larger sector, we are not using 140 as our angle theta, we are using 360 - 140 = 220 as our angle theta since that is the angle for the larger of the 2 sectors. Filling in our formula using r = 6:

`A=(220)/(360)*36\pi`

The easiest way to handle this math is to multiply the 220 by the 36, hit enter on your calculator, then divide that product by 360. When you do that your answer, in terms of pi, is 22π