Question

How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for Pi.

Answer 1

Answer:

10.5 ft

Step-by-step explanation:

When central angle is given in radians, the formula for arc length = r × θ

θ = central angle = 5π/3 radians

π = 3.14

r = 2 ft

Hence,

Arc length = 2 ×( 5 × 3.14)/3

= 10.466666667 ft

Approximately to the nearest tenth = 10.5 ft

Therefore, the length of the arc is 10.5 ft