In a circle, a central angle is 15 degrees and a radius is 8 cm. What is the length of the intercepted arc
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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
Explanation:
We know the formula for length of arc
[tex]\text{ Arc length =}\frac{\theta}{360}\times2\pi r[/tex]Where, theta is central angle and r is radius.
Now,
[tex]\begin{gathered} \text{ Arc length =}\frac{15}{360}\times2\pi\times8 \\ =\frac{2\pi}{3} \end{gathered}[/tex]Answer:
Option A is correct.