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

The length of arc is 185.39 m

Explanation:

Given that in a circle with a radius of 36.9 m, an arc is intercepted by a central angle of
`(8\pi)/(5)` radians.

we have to find the arc length.

`Radius=36.9 m`

`\text{Central angle=}(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 * (8\pi)/(5)`

`L=36.9 * (8* 3.14)/(5)`

`L=(926.928)/(5)=185.3856\sim 185.39 m`

hence, the length of arc is 185.39 m

Answer 2

185.39 m

Explanation:

Central angle = 8π/5 radians

Let's convert radians to degrees.