# how to find the side length of a regular polygon when given the apothem

101 S. Hanley Rd, Suite 300 Everyone who receives the link will be able to view this calculation, Copyright © PlanetCalc Version: Area of a n-sided regular polygon with given side length in C++. Attention reader! A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe Apothem given the length of a side. Infringement Notice, it will make a good faith attempt to contact the party that made such content available by Please follow these steps to file a notice: A physical or electronic signature of the copyright owner or a person authorized to act on their behalf;

St. Louis, MO 63105. Learn how PLANETCALC and our partners collect and use data. or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing The task is to find the area of the polygon.

Here the radius is the distance from the center of any vertex. The below figure shows a 6 sided regular polygon commonly known as hexagon. Area of Triangle using Side-Angle-Side (length of two sides and the included angle), Polygon with maximum sides that can be inscribed in an N-sided regular polygon, Side of a regular n-sided polygon circumscribed in a circle, Minimum side of square embedded in Regular polygon with N sides, Area of a n-sided regular polygon with given Radius, Program to find Area of Triangle inscribed in N-sided Regular Polygon, Area of largest Circle inscribe in N-sided Regular polygon, Find the area of rhombus from given Angle and Side length, Angle between 3 given vertices in a n-sided regular polygon, Number of occurrences of a given angle formed using 3 vertices of a n-sided regular polygon, Number of triangles formed by joining vertices of n-sided polygon with one side common, Regular polygon using only 1s in a binary numbered circle, Program to find the Interior and Exterior Angle of a Regular Polygon, Program to find the Circumcircle of any regular polygon, Program to find the Perimeter of a Regular Polygon, Determine the position of the third person on regular N sided polygon, Central angle of a N sided Regular Polygon, Check whether two convex regular polygon have same center or not, Line Clipping | Set 1 (Cohen–Sutherland Algorithm), Polygon Clipping | Sutherland–Hodgman Algorithm, Closest Pair of Points using Divide and Conquer algorithm. Looking into one of the triangles, we see the whole angle at the centre can be divided into = 360/n so, apothem = a/(2*tan(180/n)). Given here the side length a of a regular n-sided polygon, the task is to find the length of its Apothem. The Ohio State University, Bachelor of Science, Education. information described below to the designated agent listed below. which specific portion of the question – an image, a link, the text, etc – your complaint refers to; misrepresent that a product or activity is infringing your copyrights. Enter any 1 variable plus the number of sides or the polygon name. either the copyright owner or a person authorized to act on their behalf. Your name, address, telephone number and email address; and Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. , being an angle of a seven-sided regular polygon, has measure, The other two are congruent, and each has measure, The length of one side is one-seventh of 500, or. Calculates side length, inradius (apothem), circumradius, area and perimeter. Examples: Input : N = 6, a = 9 Output: 210.444 Input : N = 7, a = 8 Output : 232.571 Congruent sides  and  and the diagonal  form an isosceles triangle. brightness_4 Calculate from an regular 3-gon up to a regular 1000-gon. When we have the perimeter of a regular polygon, to find the side length we must divide by the number of sides of the polygon, in this case 8.

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edit Thus, if you are not sure content located Area of largest Circle inscribe in N-sided Regular polygon in C Program? We use cookies to ensure you have the best browsing experience on our website. Area of a n-sided regular polygon with given Radius in C Program? © 2007-2020 All Rights Reserved, How To Find The Length Of A Side Of A Polygon, Chemistry Tutors in San Francisco-Bay Area, Calculus Tutors in San Francisco-Bay Area, ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in San Francisco-Bay Area. Sharp angle is 360 divided by number of sides and divided by 2. United States Air Force Academy, Bachelor of Science, Engineering, General. Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below. Let's implement this to a program to find the length of apothem when the number of sides and length of each side of the polygon are given. Since two remained sides of the triangle are the two radii, and angle by center is 360 divided by number of sides of the regular polygon, we can use law of sines - two sides related to each other as sines of opposite angles. find the side length of a 15-sided regular polygon with apothem a=6 and area A= 282 square inches. Find number of diagonals in n sided convex polygon in C++, Probability that the pieces of a broken stick form a n sided polygon in C++, Area of a polygon with given n ordered vertices in C++, Program to find the Circumcircle of any regular polygon in C++, Program to find the Interior and Exterior Angle of a Regular Polygon in C++, Minimum Score Triangulation of Polygon in C++, Center of each side of a polygon in JavaScript, Regular Expression re{ n} Metacharacter in Java, Primitive root of a prime number n modulo n in C++. The word apothem can refer to the line itself, or the length of that line. Track your scores, create tests, and take your learning to the next level! So, h = a/(2*tan t) Incircle and circumcircle, Side of regular polygon from polygon area. Polygon Calculator. Please use ide.geeksforgeeks.org, generate link and share the link here. Calculates side length, inradius (apothem), circumradius, area and perimeter. Your name, address, telephone number and email address; and Which choice comes closest to the length of diagonal ? The calculator calculates the apothem of a regular polygon based on given values of the side length, circumradius and number of sides for selected type of polygon. Area of largest Circle inscribed in N-sided Regular polygon in C Program? Carnegie Mellon University, Bachelor of Science, Mathematics. information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are By using our site, you P.S. Polygon  is a regular nine-sided polygon, or nonagon, with perimeter 500. code. Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below. University of Chicago, Bachelor in Arts, Public Policy Analysis. or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing

Below is the implementation of the above approach: edit Use this calculator to calculate properties of a regular polygon. Examples: Input a = 9, n = 6 Output: 7.79424 Input: a = 8, n = 7 Output: 8.30609 Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. All sides are equal on regular polygons.