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
