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6 April, 14:28

A circle has a radius of 2 meters and a central angle EOG that measures 125°. What is the length of the intercepted arc EG? Use 3.14 for pi and round your answer to the nearest tenth.

A. 0.7 m

B. 1.4 m

C. 2.2 m

D. 4.4 m

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Answers (1)
  1. 6 April, 14:35
    0
    The circumference of the circle is calculated through the equation,

    C = 2πr

    Substituting the known values,

    C = 2π (2 m) = 4π m

    The measure of the arc is the circumference times the ratio of the given central angle to the total revolution,

    A = (4π m) (125°/360°)

    The measure of the arc is 4.36 m or 4.4 m. The answer is letter D.
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