Question

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

Answer 1

Answer:

Therefore the measure of the central angle is 45.86°.

Step-by-step explanation:

Given:

Radius = 9 cm

arc length = 7.2 cm

pi = 3.14

To Find:

Central angle = θ =?

Solution:

If the θ  measured in degree then the arc length is given as

$\textrm{arc lenght}=\dfrac{\theta}{360\°}\times 2\pi r$

Where r = radius, θ = Central angle

On substituting the values we get

$7.2=\dfrac{\theta}{360}\times 2\times 3.14\times 9\\\\\theta=\dfrac{2592}{56.52}=45.8598=45.86\\\therefore \theta=45.86\°$

Therefore the measure of the central angle is 45.86°.