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The circle below has center O, and its radius 4in. Given that m

The circle below has center O, and its radius 4in. Given that m-example-1

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In order to find the length of the arc, we can use the following formula:


l=r\theta

Where r is the radius and θ is the central angle in radians.

So first, let's convert the angle to radians:


50\degree=50\cdot(\pi)/(180)=(5)/(18)\pi

Now, calculating the length of the arc:


\begin{gathered} l=r\cdot\theta \\ l=4\cdot(5)/(18)\pi \\ l=(10)/(9)\pi \end{gathered}

User Jfrmilner
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