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

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