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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?

88 in.2
175 in.2
332 in.2
700 in.2

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Answer:

332 in.2

Step-by-step explanation:

The area of an octagon with perimeter and apothem of 66.3cm and 10 cm repectively is 332 inches²

What is an octagon?

An octagon is a polygon with eight sides.

The area of an octagon can be found as follows:

area of an octagon = 1 / 2 pa

where

  • p = perimeter of the octagon
  • a = apothem

Therefore,

apothem = 10 cm

perimeter = 66.3 cm

Hence,

area of an octagon = 1 / 2 × 66.3 × 10

area of an octagon = 663 / 2

area of an octagon = 331.5 inches²

area of an octagon = 332 inches²

learn more on octagon here:https://brainly.com/question/16079384

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