Perimeter 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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✖Perimeter of Heptagon is the total length around the edge of the Heptagon.ⓘ Perimeter of Heptagon given Circumradius [P]

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Perimeter of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)
P = 14*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

Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the 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

P = 14*r_c*sin(pi/7) --> 14*12*sin(pi/7)

Evaluating ... ...

P = 72.8924681717498

STEP 3: Convert Result to Output's Unit

72.8924681717498 Meter --> No Conversion Required

FINAL ANSWER

72.8924681717498 ≈ 72.89247 Meter <-- Perimeter of Heptagon

(Calculation completed in 00.006 seconds)

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< Perimeter of Heptagon Calculators

Perimeter of Heptagon given Long Diagonal

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

Perimeter of Heptagon given Short Diagonal

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

Perimeter of Heptagon given Circumradius

LaTeX Go Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)

Perimeter of Heptagon given Height

LaTeX Go Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)

< Perimeter of Heptagon Calculators

Perimeter of Heptagon given Circumradius

LaTeX Go Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)

Perimeter of Heptagon given Inradius

LaTeX Go Perimeter of Heptagon = 14*Inradius of Heptagon*tan(pi/7)

Perimeter of Heptagon

LaTeX Go Perimeter of Heptagon = 7*Side of Heptagon

Perimeter of Heptagon given Circumradius Formula

LaTeX Go

Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)
P = 14*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 Perimeter of Heptagon given Circumradius?

Perimeter of Heptagon given Circumradius calculator uses Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7) to calculate the Perimeter of Heptagon, The Perimeter of Heptagon given Circumradius formula is defined as the sum of all the sides of Heptagon, calculated using circumradius. Perimeter of Heptagon is denoted by P symbol.

How to calculate Perimeter of Heptagon given Circumradius using this online calculator? To use this online calculator for Perimeter of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Perimeter of Heptagon given Circumradius calculation can be explained with given input values -> 72.89247 = 14*12*sin(pi/7).

FAQ

What is Perimeter of Heptagon given Circumradius?

The Perimeter of Heptagon given Circumradius formula is defined as the sum of all the sides of Heptagon, calculated using circumradius and is represented as P = 14*r_c*sin(pi/7) or Perimeter of Heptagon = 14*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 Perimeter of Heptagon given Circumradius?

The Perimeter of Heptagon given Circumradius formula is defined as the sum of all the sides of Heptagon, calculated using circumradius is calculated using Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7). To calculate Perimeter 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 Perimeter of Heptagon?

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

Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)

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