Find the arc length of an arc to the nearest tenth that creates a central angle of 45° in a circle with a radius of 8m

The arc length can be determined with this formula

arc length = central angle/360° * perimeter of circle

First, find the perimeter of the circle

p = 2 * π * r

p = 2 * 3.14 * 8

p = 50.24 m

Second, find the arc length

arc length = central angle/360° * perimeter of circle

arc length = 45°/360° * 50.24

arc length = 1/8 * 50.24

arc length = 6.28

Round to the nearest tenth, the arc length is 6.3 m