Question

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box.

Answer 1

central angle theta (in radians) = arc length / radius

So theta = 5.6/8 = 0.7 radians

Answer 2

The formula to find central angle is given by :

$Central angle = \frac{arc length}{radius}$

Now we are given radius as 8 cm and arc length as 5.6 cm.

So plugging the values in the formula:

$Central angle = \frac{5.6}{8}$

Central angle =0.7 radians.