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A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.

What is the area of the octagon, rounded to the nearest square inch?


A. 88 in.2

B. 175 in.2

C. 332 in.2

D. 700 in.2

A regular octagon has an apothem measuring 10 in and a perimeter of 663 in What is the area of the octagon rounded to the nearest square inch A 88 in2 B 175 in2 class=

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taskmasters
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

Solving for the area:
Area = 1/2*10*66.3
Area = 331.5 inches²

The answer is letter "C" 332.
MrRoyal

The area of the octagon is 332 square inches

The given parameters are:

Perimeter (p) = 66.3 inches

Apothem (a) = 10 inches

The area of the octagon is then calculated as:

[tex]Area = 0.5 * a * p[/tex]

So, we have:

[tex]Area = 0.5 * 10 * 66.3[/tex]

Evaluate the products

[tex]Area = 331.5[/tex]

Approximate

[tex]Area = 332[/tex]

Hence, the area of the octagon is 332 square inches

Read more about regular polygons at:

https://brainly.com/question/1601601

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