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
[tex]\textrm{arc lenght}=\dfrac{\theta}{360\°}\times 2\pi r[/tex]
Where r = radius, θ = Central angle
On substituting the values we get
[tex]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\°[/tex]
Therefore the measure of the central angle is 45.86°.
