Problem 45178. An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?

Created by Asif Newaz

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<div style = "text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 21px; vertical-align: baseline; perspective-origin: 332px 21px; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; perspective-origin: 309px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; "><span style="">area of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.</span></span></div></div></div>

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Solution Stats

32 Solutions
18 Solvers

Last Solution submitted on Mar 05, 2021

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2 Comments

Rafael S.T. Vieira on 5 Sep 2020

This problem needs to have some tolerance to error.

goc3 on 29 Sep 2020

The test suite now contains a tolerance, as well as added test cases, while no longer revealing the solution.

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Problem 45178. An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?

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Last 200 Solutions

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Problem Recent Solvers18

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Problem 45178. An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers18

Suggested Problems

More from this Author149

Problem Tags

Community Treasure Hunt

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