Side of Heptagon given Circumradius Calculator

✖Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.ⓘ Circumradius of Heptagon [r_c]

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✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon given Circumradius [S]

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Side of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
S = 2*r_c*sin(pi/7)
This formula uses 1 Constants, 1 Functions, 2 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

Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
Circumradius of Heptagon - (Measured in Meter) - Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Heptagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 2*r_c*sin(pi/7) --> 2*12*sin(pi/7)

Evaluating ... ...

S = 10.4132097388214

STEP 3: Convert Result to Output's Unit

10.4132097388214 Meter --> No Conversion Required

FINAL ANSWER

10.4132097388214 ≈ 10.41321 Meter <-- Side of Heptagon

(Calculation completed in 00.020 seconds)

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< Side of Heptagon Calculators

Side of Heptagon given Long Diagonal

LaTeX Go Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)

Side of Heptagon given Short Diagonal

LaTeX Go Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))

Side of Heptagon given Circumradius

LaTeX Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)

Side of Heptagon given Perimeter

LaTeX Go Side of Heptagon = Perimeter of Heptagon/7

< Side of Heptagon Calculators

Side of Heptagon given Area

LaTeX Go Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)

Side of Heptagon given Circumradius

LaTeX Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)

Side of Heptagon given Height

LaTeX Go Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)

Side of Heptagon given Area of Triangle and Inradius

LaTeX Go Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon

Side of Heptagon given Circumradius Formula

LaTeX Go

Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
S = 2*r_c*sin(pi/7)

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral

How to Calculate Side of Heptagon given Circumradius?

Side of Heptagon given Circumradius calculator uses Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7) to calculate the Side of Heptagon, The Side of Heptagon given Circumradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using circumradius. Side of Heptagon is denoted by S symbol.

How to calculate Side of Heptagon given Circumradius using this online calculator? To use this online calculator for Side of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Side of Heptagon given Circumradius calculation can be explained with given input values -> 10.41321 = 2*12*sin(pi/7).

FAQ

What is Side of Heptagon given Circumradius?

The Side of Heptagon given Circumradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using circumradius and is represented as S = 2*r_c*sin(pi/7) or Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7). Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

How to calculate Side of Heptagon given Circumradius?

The Side of Heptagon given Circumradius formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using circumradius is calculated using Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7). To calculate Side of Heptagon given Circumradius, you need Circumradius of Heptagon (r_c). With our tool, you need to enter the respective value for Circumradius of Heptagon 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 Side of Heptagon?

In this formula, Side of Heptagon uses Circumradius of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
Side of Heptagon = Perimeter of Heptagon/7

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