In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 52 degrees.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Respuesta :

Answer:

Therefore the arc length is 11.43 ft.

Step-by-step explanation:

Given:

Radius = 12.6 ft

Central angle = θ = 52°

pi = 3.14

To Find:

arc length = ?

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]\textrm{arc lenght}=\dfrac{52}{360}\times 2\times 3.14\times 12.6[/tex]

[tex]\textrm{arc lenght}=11.4296=11.43\ ft[/tex]

Therefore the arc length is 11.43 ft.