Long Diagonal 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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✖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 given Short Diagonal [d_Long]

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Long Diagonal of Heptagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

d_Long = 22.4456328669144

STEP 3: Convert Result to Output's Unit

22.4456328669144 Meter --> No Conversion Required

FINAL ANSWER

22.4456328669144 ≈ 22.44563 Meter <-- Long Diagonal of Heptagon

(Calculation completed in 00.020 seconds)

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< Long Diagonal of Heptagon Calculators

Long Diagonal of Heptagon given Short Diagonal

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

Long Diagonal of Heptagon given Height

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

Long Diagonal of Heptagon given Perimeter

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

Long Diagonal of Heptagon

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

Long Diagonal of Heptagon given Short Diagonal Formula

LaTeX Go

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

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

How to calculate Long Diagonal of Heptagon given Short Diagonal using this online calculator? To use this online calculator for Long Diagonal of Heptagon given Short Diagonal, enter Short Diagonal of Heptagon (d_Short) and hit the calculate button. Here is how the Long Diagonal of Heptagon given Short Diagonal calculation can be explained with given input values -> 22.44563 = (18/(2*cos(pi/7)))/(2*sin(((pi/2))/7)).

FAQ

What is Long Diagonal of Heptagon given Short Diagonal?

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

The Long Diagonal of Heptagon given Short Diagonal formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using a short diagonal is calculated using Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7)). To calculate Long Diagonal 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 Long Diagonal of Heptagon?

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

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

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