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13 September, 00:10

The measurement of a central angle is 75. Find the measurement of

in radians

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  1. 13 September, 01:57
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    Circumference = 360 degrees

    Circumference = 2π radians (comes from 2*pi*radius)

    Therefore

    360 deg. = 2*π radians

    180 deg. = π radians

    1 deg. = (π/180) radians

    75 deg. = 75 (π/180) radians

    75 deg. = 75π / 180 radians

    don't bother to try and simplify π (it is an irrational number)

    however you can simplify 75/180

    both are divisible by 5

    75π/180 = 15π/36

    both are divisible by 3

    75 deg. = 5π/12 radians

    We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation)

    75 deg. ≈ 1.308997 radians
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