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.
1 answer:
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
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