Question

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

Answer 1

Answer:

185.39 m

Step-by-step explanation:

Central angle = 8π/5 radians

Let's convert radians to degrees.

Answer 2

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 $\frac{8\pi}{5}$ radians.

we have to find the arc length.

$Radius=36.9 m$

$\text{Central angle=}\frac{8\pi}{5}$

The arc length can be calculated by the formula

$L=r\theta$

$\text{where r is radius and }\theta \text{ is central angle in radians. }$

$L=36.9 \times \frac{8\pi}{5}$

$L=36.9 \times \frac{8\times 3.14}{5}$

$L=\frac{926.928}{5}=185.3856\sim 185.39 m$

hence, the length of arc is 185.39 m