Question

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

Answer 1

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