Perimeter of Heptagon given Short Diagonal Calculator

✖Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.ⓘ Short Diagonal of Heptagon [d_Short]

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

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Perimeter of Heptagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
P = 7*(d_Short/(2*cos(pi/7)))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.
Short Diagonal of Heptagon - (Measured in Meter) - Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Heptagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 7*(d_Short/(2*cos(pi/7))) --> 7*(18/(2*cos(pi/7)))

Evaluating ... ...

P = 69.9247246430088

STEP 3: Convert Result to Output's Unit

69.9247246430088 Meter --> No Conversion Required

FINAL ANSWER

69.9247246430088 ≈ 69.92472 Meter <-- Perimeter of Heptagon

(Calculation completed in 00.064 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 given Short Diagonal Formula

LaTeX Go

Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
P = 7*(d_Short/(2*cos(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 Short Diagonal?

Perimeter of Heptagon given Short Diagonal calculator uses Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7))) to calculate the Perimeter of Heptagon, The Perimeter of Heptagon given Short Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using short diagonal. Perimeter of Heptagon is denoted by P symbol.

How to calculate Perimeter of Heptagon given Short Diagonal using this online calculator? To use this online calculator for Perimeter of Heptagon given Short Diagonal, enter Short Diagonal of Heptagon (d_Short) and hit the calculate button. Here is how the Perimeter of Heptagon given Short Diagonal calculation can be explained with given input values -> 69.92472 = 7*(18/(2*cos(pi/7))).

FAQ

What is Perimeter of Heptagon given Short Diagonal?

The Perimeter of Heptagon given Short Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using short diagonal and is represented as P = 7*(d_Short/(2*cos(pi/7))) or Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7))). Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

How to calculate Perimeter of Heptagon given Short Diagonal?

The Perimeter of Heptagon given Short Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using short diagonal is calculated using Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7))). To calculate Perimeter of Heptagon given Short Diagonal, you need Short Diagonal of Heptagon (d_Short). With our tool, you need to enter the respective value for Short Diagonal 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 Short Diagonal 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 = 14*Height of Heptagon*tan(((pi/2))/7)
Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)

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