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
1 answer:
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 = 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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That's a 33% increase.
I calculated this using the formula:
Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.
I calculated this using the formula:
Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.