Edge Length of Regular Polygon given Circumradius Calculator

✖The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices.ⓘ Circumradius of Regular Polygon [r_c]			+10% -10%
✖The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.ⓘ Number of Sides of Regular Polygon [N_S]			+10% -10%

✖The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.ⓘ Edge Length of Regular Polygon given Circumradius [l_e]

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Edge Length of Regular Polygon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)
l_e = 2*r_c*sin(pi/N_S)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Edge Length of Regular Polygon - (Measured in Meter) - The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.
Circumradius of Regular Polygon - (Measured in Meter) - The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices.
Number of Sides of Regular Polygon - The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Regular Polygon: 13 Meter --> 13 Meter No Conversion Required
Number of Sides of Regular Polygon: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = 2*r_c*sin(pi/N_S) --> 2*13*sin(pi/8)

Evaluating ... ...

l_e = 9.94976924149233

STEP 3: Convert Result to Output's Unit

9.94976924149233 Meter --> No Conversion Required

FINAL ANSWER

9.94976924149233 ≈ 9.949769 Meter <-- Edge Length of Regular Polygon

(Calculation completed in 00.004 seconds)

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< Edge Length of Regular Polygon Calculators

Edge Length of Regular Polygon given Area

LaTeX Go Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon)

Edge Length of Regular Polygon given Circumradius

LaTeX Go Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)

Edge Length of Regular Polygon given Inradius

LaTeX Go Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon)

Edge Length of Regular Polygon given Perimeter

LaTeX Go Edge Length of Regular Polygon = Perimeter of Regular Polygon/Number of Sides of Regular Polygon

Edge Length of Regular Polygon given Circumradius Formula

LaTeX Go

Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)
l_e = 2*r_c*sin(pi/N_S)

What is Regular Polygon?

A Regular Polygon has sides of equal length and equal angles between each side. A regular n-sided polygon has rotational symmetry of order n and it is also known as a cyclic polygon. All the vertices of a regular polygon lie on the circumscribed circle.

How to Calculate Edge Length of Regular Polygon given Circumradius?

Edge Length of Regular Polygon given Circumradius calculator uses Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon) to calculate the Edge Length of Regular Polygon, The Edge Length of Regular Polygon given Circumradius formula can be defined as the length of one of the sides of the Regular Polygon, calculated using its circumradius. Edge Length of Regular Polygon is denoted by l_e symbol.

How to calculate Edge Length of Regular Polygon given Circumradius using this online calculator? To use this online calculator for Edge Length of Regular Polygon given Circumradius, enter Circumradius of Regular Polygon (r_c) & Number of Sides of Regular Polygon (N_S) and hit the calculate button. Here is how the Edge Length of Regular Polygon given Circumradius calculation can be explained with given input values -> 9.949769 = 2*13*sin(pi/8).

FAQ

What is Edge Length of Regular Polygon given Circumradius?

The Edge Length of Regular Polygon given Circumradius formula can be defined as the length of one of the sides of the Regular Polygon, calculated using its circumradius and is represented as l_e = 2*r_c*sin(pi/N_S) or Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon). The Circumradius of Regular Polygon is the radius of a circumcircle touching each of the Regular Polygon's vertices & The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

How to calculate Edge Length of Regular Polygon given Circumradius?

The Edge Length of Regular Polygon given Circumradius formula can be defined as the length of one of the sides of the Regular Polygon, calculated using its circumradius is calculated using Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon). To calculate Edge Length of Regular Polygon given Circumradius, you need Circumradius of Regular Polygon (r_c) & Number of Sides of Regular Polygon (N_S). With our tool, you need to enter the respective value for Circumradius of Regular Polygon & Number of Sides of Regular Polygon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Regular Polygon?

In this formula, Edge Length of Regular Polygon uses Circumradius of Regular Polygon & Number of Sides of Regular Polygon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon)
Edge Length of Regular Polygon = Perimeter of Regular Polygon/Number of Sides of Regular Polygon
Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon)

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