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Anvisha [2.4K]
4 years ago
15

A new business center in town was built in a shape of a regular nonagon. Each side is 160 feet long which is the area occupied b

y the business center
Mathematics
1 answer:
charle [14.2K]4 years ago
6 0

Answer:

158,254.08 ft²

Step-by-step explanation:

A nonagon is a polygon with 9 sides and 9 angles.  A regular nonagon has all equal sides and all equal angles.  In order to find the area of a nonagon, you can use the formula:

A = \frac{9}{4}a^{2}cot(\frac{180}{9}) where 'a' represents the length of one side

Calculating the known measurements ahead of time, we get a condensed, or simplified formula:

A = 6.1818 x a²

Using the side length of 160 ft:

A = 6.1818 x 160² = 158,254.08 ft²

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