What is the radius of an arc length of 8 meters that measures 45° ?

Question

A. 10.2 meters
B. 32 meters
C. 1.1 meters
D. 64 meters

Answer 1

A. 10.2 meters

The formula to find the radius of an arc length is:

radius = arc length / (angle in degrees * π/180)

Plugging in the values, we get:

radius = 8 / (45 * π/180)
= 8 / (45*π/180)
= 8 / (π/4)
= 8 * 4/π
≈ 10.2 meters

Therefore, the radius of an arc length of 8 meters that measures 45° is approximately 10.2 meters.