The radius of a circle is 6 miles. what is the length of a 135° arc? 135° r=6 mi

This is the formula to determine the length of arc

length of arc = angle/360° * circumference

First we should find the circle circumference

c = 2 * π * r

c = 2 * 3.14 * 6

c = 37.68 miles

Second find the length of arc

length of arc = angle/360 * circumference

length of arc = 135/360 * 37.68

length of arc = 3/8 * 37.68

length of arc = (3 * 37.68) / 8

length of arc = 113.04/8

length of arc = 14.13

The length of arc is 14.13 miles