Question

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π59π5 radians. What is the arc length? Use 3.14 for ππ and round your final answer to the nearest hundredth. Make sure to show your calculations.

Answer 1

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Answer 2

Answer:

Arc Length is 152.04 meters

Step-by-step explanation:

We are given that,

Radius of the circle = 26.9 meters

Central angle, θ = $\frac{9\pi}{5}$ radians

As, we know that,

Arc length = Radius × Central Angle

i.e. Arc length = $\frac{26.9\times 9\times 3.14}{5}$

i.e. Arc length = $\frac{760.194}{5}$

i.e. Arc Length = 152.04 meters

Hence, we get that,

The arc length of the circle is 152.04 meters.