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? Enter your answer as a decimal in the box.

Answer 1

0.8

Explanation:

Answer 2

Length of an arc is given by:

`l = r \theta` ......[1]

where,

r is the radius of the circle

`\theta` is the angle in radian.

As per the statement:

A circle has a radius of 9 cm.

⇒r =9 cm

It is also given that: intercepted arc length is 7.2 cm

Substitute the given values in [1] we have;

`7.2 = 9 \cdot \theta`

Divide both sides by 9 we get;

`0.8 = \theta`

Therefore, the measure in radians for the central angle is, 0.8