A platter is in the shape of a regular octagon with an apothem of 6 inches. Find the area of the platter. Round your answer to the nearest hundredth.

Respuesta :

Answer: 3

Step-by-step explanation:

To calculate the volume of a rectangular box, first measure its length, width, and height. Be sure to use the same units, like inches or centimeters, for all 3 measurements! Then, simply multiply the 3 measurements together using the formula Volume = Length × Width × Height.

The area of the regular octagon will be 119.28 square inches.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A platter is in the shape of a regular octagon with an apothem of 6 inches.

The diagram is given below.

The angle θ will be 22.5°.

Then the sides of the regular octagon will be

S = 2 (6 x tan 22.5°)

S = 4.97 inches

Then the area of the regular octagon will be

Area = 8 x (Area of triangle)

Area = 8 x 1/2 x 4.97 x 6

Area = 119.28 square inches

More about the polygon link is given below.

https://brainly.com/question/17756657

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