What is the arc length of the arc subtended in a circle with radius 6 and an angle of 7π / 8

A. 7π / 4
B. 36π
C. 126π / 4
D. 14π / 8
E. 21π / 4

First, find the fraction of the circumference represented by central angle 7pi/8:

7pi/8

  2pi

Then find the circumference; it is C = 2 pi r, or 2pi(6), or 12 pi units

Then the arc length is   7pi/8                  7

                                    * 12 pi = units, or 21/4 units, or 5 1/4 units.

                                      2pi                   16 pi

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

9987

step-by-step explanation: