Question

PLEASE HELP ASAP!!!!!

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,

$28 = 7 \times \theta\\\\\theta = \frac{28}{7} = 4$

Thus the measure of the central angle is 4 radians