Height 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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✖Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Heptagon given Short Diagonal [h]

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Height of Heptagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((pi/2))/7))
h = (d_Short/(2*cos(pi/7)))/(2*tan(((pi/2))/7))
This formula uses 1 Constants, 2 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)
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

Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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

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

Evaluating ... ...

h = 21.8828739885406

STEP 3: Convert Result to Output's Unit

21.8828739885406 Meter --> No Conversion Required

FINAL ANSWER

21.8828739885406 ≈ 21.88287 Meter <-- Height of Heptagon

(Calculation completed in 00.010 seconds)

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< Height of Heptagon Calculators

Height of Heptagon given Circumradius

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

Height of Heptagon given Long Diagonal

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

Height of Heptagon given Inradius

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

Height of Heptagon

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

Height of Heptagon given Short Diagonal Formula

LaTeX Go

Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((pi/2))/7))
h = (d_Short/(2*cos(pi/7)))/(2*tan(((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 Height of Heptagon given Short Diagonal?

Height of Heptagon given Short Diagonal calculator uses Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((pi/2))/7)) to calculate the Height of Heptagon, The Height of Heptagon given Short Diagonal formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using a short diagonal. Height of Heptagon is denoted by h symbol.

How to calculate Height of Heptagon given Short Diagonal using this online calculator? To use this online calculator for Height of Heptagon given Short Diagonal, enter Short Diagonal of Heptagon (d_Short) and hit the calculate button. Here is how the Height of Heptagon given Short Diagonal calculation can be explained with given input values -> 21.88287 = (18/(2*cos(pi/7)))/(2*tan(((pi/2))/7)).

FAQ

What is Height of Heptagon given Short Diagonal?

The Height of Heptagon given Short Diagonal formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using a short diagonal and is represented as h = (d_Short/(2*cos(pi/7)))/(2*tan(((pi/2))/7)) or Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((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 Height of Heptagon given Short Diagonal?

The Height of Heptagon given Short Diagonal formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using a short diagonal is calculated using Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((pi/2))/7)). To calculate Height 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 Height of Heptagon?

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

Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7))
Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7))
Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7))

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