Question

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. r = 2.7 meters, s = 4.32 meters

a. 1.6 radians

b. 0.37 radians

c. 3.5 radians

d. 1.35 radians

Answer 1

C .. its c because if you subtract it thats what you will get

Answer 2

The correct option is a.

Explanation:

Given information: radius r =2.7 meters, arc length s = 4.32 meters.

The formula of arc length is

`s=r\theta`

where, r is radius and θ is central angle in radians.

Using the above formula we get

`4.32=2.7* \theta`

Divide both sides by 2.7.

`(4.32)/(2.7)=\theta`

`1.6=\theta`

The value of the central angle is 1.6 radians. Therefore option a is correct.