What is the length of the indicated arc?

arc = 7 pi

Step-by-step explanation:

The length of the arc is circumference

C = 2 * pi *r

C = 2 * pi *4

C = 8 pi

A circle is 360 degrees.  The arc is 315 degrees

The arc is 315/360 of the circle, that is 7/8 of the circle, so it will be 7/8 of the circumference

7/8C = 7/8 (8pi)

arc = 7 pi

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

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation: