A regular octagon with sides of length 11 and an apothem of length 8.85 has an area of _____ square units.A.98.65B.778.80C.430.77D.389.40E.121F.97.35
Question
Solution
The area of a regular polygon can be calculated using the formula:
Area = 1/2 * Perimeter * Apothem
In this case, the octagon has 8 sides of length 11 and an apothem of length 8.85.
First, calculate the perimeter:
Perimeter = Number of sides * Length of one side Perimeter = 8 * 11 = 88 units
Then, substitute the values into the formula:
Area = 1/2 * 88 * 8.85 = 389.4 square units
So, the answer is D.389.40.
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