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In a circle with a radius of 36.9 m, an arc is intercepted by a central angle of 8π5 radians.


Use 3.14 for π and round your final answer

In a circle with a radius of 36 9 m an arc is intercepted by a central angle of 8π5 radians Use 3 14 for

Answer :

Answer:

185.39 m

Step-by-step explanation:

Central angle = 8π/5 radians

Let's convert radians to degrees.


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Rewritten by : Barada

Answer:

The length of arc is 185.39 m

Step-by-step explanation:

Given that in a circle with a radius of 36.9 m, an arc is intercepted by a central angle of [tex]\frac{8\pi}{5}[/tex] radians.

we have to find the arc length.

[tex]Radius=36.9 m[/tex]

[tex]\text{Central angle=}\frac{8\pi}{5}[/tex]

The arc length can be calculated by the formula

[tex]L=r\theta[/tex]

[tex]\text{where r is radius and }\theta \text{ is central angle in radians. }[/tex]

[tex]L=36.9 \times \frac{8\pi}{5}[/tex]

[tex]L=36.9 \times \frac{8\times 3.14}{5}[/tex]

[tex]L=\frac{926.928}{5}=185.3856\sim 185.39 m[/tex]

hence, the length of arc is 185.39 m