math **urgent**

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using 100 ft of fence material and building a regular octagon garden, what is the area of the garden?

  • math **urgent** -

    8 sides, so each side = 12.5 ft
    split the octogon into 8 isosceles triangles.
    Consider one triangle, the central angle is 360/8 = 45°, so each base angle = 67.5°
    tan 67.5 = height/6.25
    height = 6.25(tan67.5) = 15.0888...
    area of one triangle = (1/2)(12.5)(15.0888..)
    = 94.3052..
    area of whole thing =8(94.3052..) = 754.4417

    check my arithmetic, I had my calculator keep all the digits as I went along

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