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 Author156

Problem Tags

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