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: 20.4333px; 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: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.5px 8px; transform-origin: 376.5px 8px; unicode-bidi: normal; "><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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51 Solutions
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Last Solution submitted on Apr 18, 2022

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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.

Ramon Villamangca on 25 Dec 2021

Error Message: Unrecognized function or variable 'tolerance'.

Dyuman Joshi on 25 Dec 2021

Test suite has been corrected.

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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 Solvers27

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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 Solvers27

Suggested Problems

More from this Author163

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