Consider circle H with a 3 centimeter radius. If the length of minor arc RT is

2

3

π, what is the measure of ∠RST?

Step-by-step explanation:

Please consider the attached graph of circle.

We have been given that circle H has a radius of 3 centimeters. The length of minor arc RT is . We are asked to find the measure of angle RST.

We will use arc length formula to find central angle.

, where theta is central angle in radians.

Upon substituting our given values in arc length formula, we will get:

We know that the measure of inscribed angle is half the measure of central angle.

The measure of angle RST is in radians, we will convert it in degrees as:

Therefore, measure of angle is in radians or 20 degrees.

okay wait before i answer, is this for your points on a graph?