Side of Heptagon given Height Calculator

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

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✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon given Height [S]

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Side of Heptagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)
S = 2*h*tan(((pi/2))/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

Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Heptagon: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 2*h*tan(((pi/2))/7) --> 2*22*tan(((pi/2))/7)

Evaluating ... ...

S = 10.0427128731666

STEP 3: Convert Result to Output's Unit

10.0427128731666 Meter --> No Conversion Required

FINAL ANSWER

10.0427128731666 ≈ 10.04271 Meter <-- Side of Heptagon

(Calculation completed in 00.007 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Side of Heptagon Calculators

Side of Heptagon given Long Diagonal

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

Side of Heptagon given Short Diagonal

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

Side of Heptagon given Circumradius

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

Side of Heptagon given Perimeter

LaTeX Go Side of Heptagon = Perimeter of Heptagon/7

< Side of Heptagon Calculators

Side of Heptagon given Area

LaTeX Go Side of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)

Side of Heptagon given Circumradius

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

Side of Heptagon given Height

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

Side of Heptagon given Area of Triangle and Inradius

LaTeX Go Side of Heptagon = (2*Area of Triangle of Heptagon)/Inradius of Heptagon

Side of Heptagon given Height Formula

LaTeX Go

Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7)
S = 2*h*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 Side of Heptagon given Height?

Side of Heptagon given Height calculator uses Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7) to calculate the Side of Heptagon, The Side of Heptagon given Height formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using height. Side of Heptagon is denoted by S symbol.

How to calculate Side of Heptagon given Height using this online calculator? To use this online calculator for Side of Heptagon given Height, enter Height of Heptagon (h) and hit the calculate button. Here is how the Side of Heptagon given Height calculation can be explained with given input values -> 10.04271 = 2*22*tan(((pi/2))/7).

FAQ

What is Side of Heptagon given Height?

The Side of Heptagon given Height formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using height and is represented as S = 2*h*tan(((pi/2))/7) or Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7). Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Side of Heptagon given Height?

The Side of Heptagon given Height formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using height is calculated using Side of Heptagon = 2*Height of Heptagon*tan(((pi/2))/7). To calculate Side of Heptagon given Height, you need Height of Heptagon (h). With our tool, you need to enter the respective value for Height 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 Side of Heptagon?

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

Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
Side of Heptagon = Perimeter of Heptagon/7

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