Use the diagram of a regular octagon to answer the question.
Information
A diagram.Short description, A diagram.,Long description,
The diagram shows a regular octagon has a side of 14 feet. The distance from the middle of one side to the center of the octagon is 16.9 feet. Dotted lines show that those measurements are the height and base of a triangle that is a sector of the octagon.
Question
To the nearest tenth, what is the area of the octagon?
To find the area of the octagon, we need to find the area of the triangle sector and multiply it by 8 (since there are 8 identical triangle sectors in the octagon).
To find the area of the triangle sector, we can use the formula: (base * height) / 2.
In this case, the base of the triangle sector is 14 feet and the height is 16.9 feet.
So, the area of the triangle sector is: (14 * 16.9) / 2 = 118.3 square feet.
To find the area of the octagon, we multiply the area of the triangle sector by 8: 118.3 * 8 = 946.4 square feet.
Therefore, the area of the octagon is approximately 946.4 square feet, rounded to the nearest tenth.