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22 December, 06:37

An arc with a length of 12 cm lies on a circle with a diameter of 9cm

What is the length of the arc in radians?

A. About 1.3 radians

B. About 1.9 radians

C. About 2.2 radians

D. About 2.7 radians

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Answers (1)
  1. 22 December, 06:40
    0
    Circumference is given by:

    C=Θ/360πd

    C=12 cm

    d=9cm

    thus;

    12=Θ/360*π*9

    12=0.0785Θ

    Θ=12/0.0785

    Θ=152.789

    thus the angle in radians will be:

    radians = (π/180) * degrees

    =π/180*152.789

    =2.6667

    =2.7 radians

    the answer is D]
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