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22 May, 03:43

A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90°. What is the length of the intercepted arc AB?

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Answers (2)
  1. 22 May, 03:54
    0
    Arc length = radius * central angle (radians)

    Arc length = 7.5 * PI / 2

    Arc length = 11.780972451 centimeters
  2. 22 May, 04:05
    0
    Let a be the arc length ...

    a / (2πr) = 90/360

    a / (2πr) = 1/4

    a=πr/2 and r=7.5 so

    a=3.75π cm

    a≈11.78 cm (to the nearest one hundredth of a cm)
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