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)

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

c. side angle side. u shares the same sides