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A circle has a radius of 6. An arc in this circle has a central angle of 330°What is the length of the arc?

User Manishie
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1 Answer

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Consider that the length of arc (L) of a circle with radius (R) and central angle (Θ) is given by the formula,


L=(\theta)/(360)*2\pi R

Given the radius as 6 units, and the central angle 330 degrees, the length of arc is calculated as,


\begin{gathered} L=(330)/(360)*2\pi(6) \\ L=11\pi \\ L\approx34.55 \end{gathered}

Thus, the length of the arc is 34.55 units approximately.

User Navige
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