Question

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

Answer 1

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.