Question

Find the area of a regular octagon with a side length of 17 meters and an apothem length of 21

meters. Round your answer to the nearest meter. Be sure to label the unit.

Answer 1

Explanation:

An octagon is a 2-dimensional shape with 8 sides and the area is the space within the 8 sides of the shape. To calculate the area of the octagon we can use the area of an isosceles triangle. We divide the area of the shape into eight equal isosceles triangles and calculate it accordingly. A regular octagon has the length of the sides equal and the angles between these sides are equal. The measure of each interior angle is 135° and the exterior angles measure 45° each.

Area of Octagon Formula

The formula used to calculate the area of an octagon is:

2s2(1+√2), where s is the length of the side of the octagon.