Question

What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm?

Answer 1

Arc length = radius *  central angle (in radians)
central angle (in radians) = arc length / radius
central angle (in radians) = 7.2 / 9
=.8 radians

Answer 2

Answer:

the measure in radians for the central angle of a circle is, 0.8

Explanation:

Formula for arc length is given by:

$l =r \theta$            ....[1]

where

r is the radius and $\theta$ is in radian.

As per the statement:

radius is 9 cm and intercepted arc length is 7.2 cm

r = 9 cm and l = 7.2 cm

Substitute these in [1] we have;

$7.2 = 9 \theta$

Divide both sides by 9 we have;

$\theta = 0.8$

Therefore, the measure in radians for the central angle of a circle is, 0.8