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Find the area of the regular polygon. Round your answer to the nearest tenth.
the individual sides are 10 the radius is 13.07

  • math -

    radius to what where with center where?

  • math -

    the 10 is on one of the lines of the polygon then a line from the center
    goes from the center to the edge of polygon inside with a doted line

  • math -

    does that help


    please help me with this

  • math -

    http://www.mathsisfun.com/geometry/regular-polygons.html

  • math -

    If your radius is to the corners, then
    10 = 2* 13.07 sin (180/n)
    sin (180/n) = .382555
    180/n = 22.5
    n = 8 sides
    360/8 = 45 = top angle of each isoceles triangle
    half of that has hpotenuse of 13.07 and base of 5
    area of each of those 16 triangles = (1/2) (5)(13.07 cos 22.5) = 30.2
    16*30.2 = 483

  • math -

    thank you

  • math -

    If your radius is to the center of each side then
    tan (360/2n) = 5/13.07
    180/n = 20.93
    n = 8.59 sides
    I doubt if that is what it means so use my previous answer.

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