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In circle D with m∠CDE = 118 m∠CDE=118 and CD=4 units, find the length of arc CE. Round to the nearest hundredth.

User Phs
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1 Answer

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7 votes

Answer:

CE ≈ 8.24 units

Explanation:

The circumference of a circle is given by the formula ...

C = 2πr

Your circle has a radius CD of 4 units, so its circumference is ...

C = 2π(4 units) = 8π units

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The arc of interest is 118°. The whole circle is 360°, so the length of the arc is 118/360 times the circumference of the circle:

CE = (118/360)(8π units) ≈ 8.24 units

User Jan Zich
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