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15 September, 13:09

In circle O, the radius is 4, and the

measure of minor arc AB is 120

degrees. Find the length of minor

arc AB to the nearest integer.

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Answers (1)
  1. 15 September, 13:22
    0
    The length of minor arc AB is 8

    Step-by-step explanation:

    In this question, we are asked to calculate the length of the minor arc.

    Mathematically, the length of an arc can be calculated using the formula below;

    Length of an arc = θ/360° * 2πr

    Where θ is the angle subtended by the arc which is 120° according to the question, r is the radius of the circle which is 4 according to the question.

    Plugging these values, we have

    Length of minor arc AB = 120/360 * 2 * 22/7 * 4 = 8.34 = 8 to the nearest integer
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