Question

The area of sector ORT is 187

square units and the area of
circle O is 5471 square units.
What is the value of x, in degrees?
​

Answer 1

120º

Explanation:

First we need to know the fraction of the area of ORT to the area of the circle.

Fraction = 18π/54π = 1/3

We know that a circle is 360º, and sector ORT is xº. The fraction of the sector of ORT to the circle must also be equal to 1/3.

x/360 = 1/3

3x = 360

x = 120º