SOLUTION: A regular heptagon has a radius of approximately 28 cm and the length of each side is 24 cm. What is the approximate area of the heptagon? Recall that a heptagon is a polygon wi

Algebra ->  Surface-area -> SOLUTION: A regular heptagon has a radius of approximately 28 cm and the length of each side is 24 cm. What is the approximate area of the heptagon? Recall that a heptagon is a polygon wi      Log On


   



Question 1062317: A regular heptagon has a radius of approximately 28 cm and the length of each side is 24 cm.
What is the approximate area of the heptagon? Recall that a heptagon is a polygon with 7 sides.
1,211 cm2
2,125 cm2
2,352 cm2
4,250 cm2

Answer by ikleyn(52786) About Me  (Show Source):
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A regular heptagon has a radius of approximately 28 cm and the length of each side is 24 cm.
What is the approximate area of the heptagon? Recall that a heptagon is a polygon with 7 sides.
1,211 cm2
2,125 cm2
2,352 cm2
4,250 cm2
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Area = 7%2A%281%2F2%29%2A24%2Asqrt%2828%5E2+-+%2824%2F2%29%5E2%29 = 7%2A12%2Asqrt%2828%5E2+-+12%5E2%29 = 2125 cm%5E2 cm.


7 isosceles triangles with the base of 24 cm each and the height of sqrt%2828%5E2+-+12%5E2%29 cm (approximately).