EllajaneE345178 EllajaneE345178
  • 03-11-2022
  • Mathematics
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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 of the intercepted arc class=

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ThyO116256 ThyO116256
  • 03-11-2022

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.

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