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In a circle, a central angle is 15 degrees and a radius is 8 cm. What is the length of the intercepted arc

In a circle, a central angle is 15 degrees and a radius is 8 cm. What is the length-example-1
User Sprague
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1 Answer

7 votes

Given:

In a circle, a central angle is 15 degrees and a radius is 8 cm.

Required:

What is the length of the intercepted arc

Step-by-step explanation:

We know the formula for length of arc


\text{ Arc length =}(\theta)/(360)*2\pi r

Where, theta is central angle and r is radius.

Now,


\begin{gathered} \text{ Arc length =}(15)/(360)*2\pi*8 \\ =(2\pi)/(3) \end{gathered}

Answer:

Option A is correct.

User Debie
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