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A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation

Question

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation

gives the measure of the central angle, q?

e = 5/7

e=7/5

e=7+5

e=7.5

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Math
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2022-02-17T17:41:25+00:00
2022-02-17T17:41:25+00:00 1 Answer
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## Answers ( )

Answer:Ф = ———— = 7/5 radiansStep-by-step explanation:“e” is inappropriate format here. Use Ф or α or similiar character for central angle.

Here, (arc length) = (radius)(central angle), or s = rФ, and so:

(central angle) = Ф = (arc length) / (radius)

7 ft

Here,

Ф = ———— = 7/5 radians5 ft