A farmer has a field in the shape of a regular heptagon which has a perimeter of 1400 m. What is its area?
Question
A farmer has a field in the shape of a regular heptagon which has a perimeter of 1400 m. What is its area?
Solution
To find the area of a regular heptagon (7-sided polygon), we need to know the length of one side. Since the perimeter is 1400m and a heptagon has 7 sides, each side is 1400/7 = 200m.
The formula for the area of a regular heptagon is given by:
Area = (7/4) * (side length)^2 * cot(π/7)
The cotangent of π/
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