An arc of 10 meters is formed by a central angle A on a circle radius 4. The measure of A In degrees (to two decimal places) is___.

Question

An arc of 10 meters is formed by a central angle A on a circle radius 4. The measure of A In degrees (to two decimal places) is___.

A. 143.24
B. 36.76
C. 2.50
D. 216.76

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RobertKer 4 years 2021-07-22T22:05:39+00:00 1 Answers 15 views 0

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    2021-07-22T22:06:47+00:00

    Answer:

    arc length   =   circumference • [central angle (degrees) ÷ 360]

    central angle (degrees)  = 360 * arc length / circumference

    circumference = PI * 2 * 4 = 25.1327412287

    central angle (degrees)  = 360 * 10 / 25.1327412287

    central angle (degrees)  = 143.2394487828

    answer is A——–

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