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lesya [120]
3 years ago
12

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 you

r answer to the nearest tenth
Mathematics
1 answer:
Ahat [919]3 years ago
8 0
Apothem = side length / 2*tan(180 / number of sides)
apothem = side length / 2*tan (180 / 7)
apothem = 6 / (2*tan( <span> <span> <span> 25.7142857143</span></span></span>))
apothem = 6 / 2*0.48157
<span><span><span>apothem = 6.2296239384 </span> </span> </span>

Polygon area = (# of sides * side length * apothem) / 2
Polygon area = ( 7 * 6 * <span>6.2296239384) / 2
</span><span><span><span>Polygon area = 130.8221027064 </span> </span> </span> 



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