Question

PLEASE HELP ASAP!!!!!

A central angle of a circle intercepts an arc of length 28 centimeters .
The radius of the circle is 7 centimeters.
what is the measure of the central angle in radians?

Answer 1

The measure of the central angle is 4 radians

Solution:

Given that central angle of a circle intercepts an arc of length 28 centimeters

The radius of the circle is 7 centimeters

To find: measure of the central angle in radians

The arc length of circle when
`\theta` is measured in radians is given as:

`s = r \theta`

Where "s" is the arc length

"r" is the radius of circle

`\theta` is the central angle in radians

Substituting the values in formula,

`28 = 7 * \theta\\\\\theta = (28)/(7) = 4`

Thus the measure of the central angle is 4 radians