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17 November, 20:14

What is the area of a regular heptagon with side length of 6 meters and a distance from the to the vertex of 6 meters? round your answer to the nearest tenth

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  1. 17 November, 21:28
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    Apothem = side length / 2*tan (180 / number of sides)

    apothem = side length / 2*tan (180 / 7)

    apothem = 6 / (2*tan (25.7142857143))

    apothem = 6 / 2*0.48157

    apothem = 6.2296239384

    Polygon area = (# of sides * side length * apothem) / 2

    Polygon area = (7 * 6 * 6.2296239384) / 2

    Polygon area = 130.8221027064
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