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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Faith 3 months 2022-02-17T17:41:25+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-02-17T17:43:07+00:00

    Answer:

    Ф = ———— = 7/5 radians

    Step-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 radians

                        5 ft

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