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17 December, 09:24

The length of chord AB in D is 9mm. If the measure of angle AB is 32 then find the length of AB

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  1. 17 December, 11:03
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    The length of arc AB is 9.12 mm:

    We first calculate for the radius r of the circle using the equation

    r = c / (2 sin[theta/2])

    where c is the length of chord AB that is given as 9 millimeters

    angle given is 32 degrees

    To convert theta 32 degrees into radians:

    32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians

    We now substitute the values into the equation to find the radius r:

    r = 9 / (2 sin[0.5583/2])

    r = 16.33 mm

    .

    We can finally solve for the length s of arc:

    s = r theta = 16.33 * 0.5583 = 9.12 mm
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