In the figure below, the radius of circle P is 10 units. The arc length of ABC is 16 pi. What is the arc measure of AC, in degrees?

72 degrees

Step-by-step explanation:

We need to know the total circumference in order to determine the arc measure for ABC before we figure out AC

Circumference = 2πr → = 2π (10) → = 20π

We know the length of ABC

so we set up a proportion to figure out its arc measure.

arc length / circumference = arc measure / degrees in a circle

16π / 20π = arc measure / 360 degrees

arc measure = 360 x 16π / 20π = 228 degrees

The arc measure of ABC is 228 degrees

If we combine the major arc ABC, and the minor arc AC we have the entire circle.

288 degrees + m AC = 360

m AC = 72 degrees

The measure of AC is 72 degrees

(i got the explanation off of Klan Academy when i answered the question)