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Gelneren [198K]
3 years ago
11

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 degre

es?
Mathematics
2 answers:
MArishka [77]3 years ago
8 0

Answer:

25

Step-by-step explanation:

Leto [7]3 years ago
7 0

Answer:

72 degrees

Step-by-step explanation:

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

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

<u>The arc measure of ABC is 228 degrees</u>

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

<em>(i got the explanation off of Klan Academy when i answered the question)</em>

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