An angle whose vertex is the center of the polygon and whose sides contain consecutive vertices of the polygon.

You are watching: Find the area of a regular octagon with apothem k and side of 10.

40kA = (P*a)/2 where P is the perimeter of the octagon and a is the apothem. octagon has 8 sides, our side length is 10So, (10*k)/2 = 5k. multiply this result by the number of sides an octag~ above Thus, 40k is your answer.

The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

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Student Solutions Guide with Solutions Manual for Alexander/Koeberlein"s Elementary Geometry for College Students, 5th5th EditionDaniel C. Alexander, Geralyn M. Koeberlein

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