Answer:
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)
