Question

Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal places. r = 8 meters, θ = 50°

A. 6.98 meters
B. 5.58 meters
C. 7.68 meters
D. 6.28 meters

Answer 1

i think the answer is A

Answer 2

The length of arc is 6.98 meters.

Explanation:

Given the central angle θ=50° and radius 8 m of arc of circle.

we have to find the length of arc.

`Radius=8 m`

`\theta =50^(\circ)`

`\text{The length of arc can be calculated by formula=}(\theta)/(360)* 2\pi r`

`L=(50)/(360)* 2* (22)/(7)* 8`

`L=(55* 8)/(63)`

`L=(440)/(63)=6.98 m`

The length of arc is 6.98 meters.

Hence, option A is correct.