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Find the length of arc JL. Round to the nearest hundredth.(degrees)

Find the length of arc JL. Round to the nearest hundredth.(degrees)-example-1

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Arc Length

Given a circle of radius r, the length of the arc formed by a central angle θ is given by:


L=\theta\cdot r

We are given the central angle ∠JKL = 144° and the radius r = JK = 6 units.

The angle must be converted to radians by using the equivalence π = 180°

Thus:


\begin{gathered} \theta=144\cdot(\pi)/(180) \\ \theta=2.51327\text{ rad} \end{gathered}

Calculating the arc length:


\begin{gathered} L=2.51327\cdot6 \\ L=15.08 \end{gathered}

The length of the arc JL is 15.08 units

User Akokskis
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