Question

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. a regular octagon has an apothem with length 10 centimeters and a perimeter of 66.3 inches. what is the area of the octagon, rounded to the nearest square inch?

Answer 1

331.5 inches²  is the area of the octagon, rounded to the nearest square inch.

What is octagonal in shape?

• In geometry, an octagon is a polygon that has 8 sides and 8 angles.
• All the sides are joined end to end to form the shape of the octagon.
• The sum of the interior angles of an octagon is equal to 180 degrees.

Solving for an area of a regular octagon, we can make use of the formula shown below:

Area = 1/2 × apothem × perimeter

In this problem, the following values were given such as:

Apothem = 10 inches

Perimeter = 66.3 inches

Put the values in the formula

Area = 1/2 × 10 × 66.3

Area = 331.5 inches²  

Learn more about area of the octagon

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