Perimeter of Heptagon given Inradius Calculator

✖Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.ⓘ Inradius of Heptagon [r_i]

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

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Perimeter of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Heptagon = 14*Inradius of Heptagon*tan(pi/7)
P = 14*r_i*tan(pi/7)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.
Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Heptagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 14*r_i*tan(pi/7) --> 14*11*tan(pi/7)

Evaluating ... ...

P = 74.1624912963594

STEP 3: Convert Result to Output's Unit

74.1624912963594 Meter --> No Conversion Required

FINAL ANSWER

74.1624912963594 ≈ 74.16249 Meter <-- Perimeter of Heptagon

(Calculation completed in 00.004 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 Inradius Formula

LaTeX Go

Perimeter of Heptagon = 14*Inradius of Heptagon*tan(pi/7)
P = 14*r_i*tan(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 Inradius?

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

How to calculate Perimeter of Heptagon given Inradius using this online calculator? To use this online calculator for Perimeter of Heptagon given Inradius, enter Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Perimeter of Heptagon given Inradius calculation can be explained with given input values -> 74.16249 = 14*11*tan(pi/7).

FAQ

What is Perimeter of Heptagon given Inradius?

The Perimeter of Heptagon given Inradius formula is defined as the sum of all the sides of Heptagon, calculated using inradius and is represented as P = 14*r_i*tan(pi/7) or Perimeter of Heptagon = 14*Inradius of Heptagon*tan(pi/7). Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Perimeter of Heptagon given Inradius?

The Perimeter of Heptagon given Inradius formula is defined as the sum of all the sides of Heptagon, calculated using inradius is calculated using Perimeter of Heptagon = 14*Inradius of Heptagon*tan(pi/7). To calculate Perimeter of Heptagon given Inradius, you need Inradius of Heptagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius 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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