Geometry

A circle has a radius of 3 an arc in this circle has a central angle of 20 degrees what is the length of the arc

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  1. circumference of whole circle = 2pi r
    = 6pi

    so :
    arc/6pi = 20/360
    arc = 120pi/360
    = pi/3 = appr 1.047 units

    or

    arc = rθ , where θ is the angle in radians
    so 20 degrees = 20pi/180 radians
    = pi/9

    arc = 3(pi/9)
    = pi/3 , same as above

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