Short Diagonal of Heptagon given Long Diagonal Calculator

✖Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.ⓘ Long Diagonal of Heptagon [d_Long]

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✖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 given Long Diagonal [d_Short]

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Short Diagonal of Heptagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
d_Short = 4*d_Long*sin(((pi/2))/7)*cos(pi/7)
This formula uses 1 Constants, 2 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)
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

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.
Long Diagonal of Heptagon - (Measured in Meter) - Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Heptagon: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Short = 4*d_Long*sin(((pi/2))/7)*cos(pi/7) --> 4*23*sin(((pi/2))/7)*cos(pi/7)

Evaluating ... ...

d_Short = 18.4445679235113

STEP 3: Convert Result to Output's Unit

18.4445679235113 Meter --> No Conversion Required

FINAL ANSWER

18.4445679235113 ≈ 18.44457 Meter <-- Short Diagonal of Heptagon

(Calculation completed in 00.007 seconds)

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< Short Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Long Diagonal

LaTeX Go Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)

Short Diagonal of Heptagon given Height

LaTeX Go Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)

Short Diagonal of Heptagon given Perimeter

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

Short Diagonal of Heptagon

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

Short Diagonal of Heptagon given Long Diagonal Formula

LaTeX Go

Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
d_Short = 4*d_Long*sin(((pi/2))/7)*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 Short Diagonal of Heptagon given Long Diagonal?

Short Diagonal of Heptagon given Long Diagonal calculator uses Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7) to calculate the Short Diagonal of Heptagon, The Short Diagonal of Heptagon given Long Diagonal formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using long diagonal. Short Diagonal of Heptagon is denoted by d_Short symbol.

How to calculate Short Diagonal of Heptagon given Long Diagonal using this online calculator? To use this online calculator for Short Diagonal of Heptagon given Long Diagonal, enter Long Diagonal of Heptagon (d_Long) and hit the calculate button. Here is how the Short Diagonal of Heptagon given Long Diagonal calculation can be explained with given input values -> 18.44457 = 4*23*sin(((pi/2))/7)*cos(pi/7).

FAQ

What is Short Diagonal of Heptagon given Long Diagonal?

The Short Diagonal of Heptagon given Long Diagonal formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using long diagonal and is represented as d_Short = 4*d_Long*sin(((pi/2))/7)*cos(pi/7) or Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7). Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.

How to calculate Short Diagonal of Heptagon given Long Diagonal?

The Short Diagonal of Heptagon given Long Diagonal formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using long diagonal is calculated using Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7). To calculate Short Diagonal of Heptagon given Long Diagonal, you need Long Diagonal of Heptagon (d_Long). With our tool, you need to enter the respective value for Long 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 Short Diagonal of Heptagon?

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

Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)

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