Long Diagonal of Heptagon given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)
dLong = (h*tan(((pi/2))/7))/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)
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
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.
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
dLong = (h*tan(((pi/2))/7))/sin(((pi/2))/7) --> (22*tan(((pi/2))/7))/sin(((pi/2))/7)
Evaluating ... ...
dLong = 22.5657709919962
STEP 3: Convert Result to Output's Unit
22.5657709919962 Meter --> No Conversion Required
FINAL ANSWER
22.5657709919962 22.56577 Meter <-- Long Diagonal of Heptagon
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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8 Long Diagonal of Heptagon Calculators

Long Diagonal of Heptagon given Area
Go Long Diagonal of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon given Short Diagonal
Go Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon given Circumradius
Go Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7)
Long Diagonal of Heptagon given Height
Go Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)
Long Diagonal of Heptagon given Inradius
Go Long Diagonal of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
Long Diagonal of Heptagon given Perimeter
Go Long Diagonal of Heptagon = (Perimeter of Heptagon/7)/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon
Go Long Diagonal of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon given Width
Go Long Diagonal of Heptagon = Width of Heptagon/1

Long Diagonal of Heptagon given Height Formula

Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)
dLong = (h*tan(((pi/2))/7))/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 Height?

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

How to calculate Long Diagonal of Heptagon given Height using this online calculator? To use this online calculator for Long Diagonal of Heptagon given Height, enter Height of Heptagon (h) and hit the calculate button. Here is how the Long Diagonal of Heptagon given Height calculation can be explained with given input values -> 22.56577 = (22*tan(((pi/2))/7))/sin(((pi/2))/7).

FAQ

What is Long Diagonal of Heptagon given Height?
The Long Diagonal of Heptagon given Height formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using height and is represented as dLong = (h*tan(((pi/2))/7))/sin(((pi/2))/7) or Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7). Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
How to calculate Long Diagonal of Heptagon given Height?
The Long Diagonal of Heptagon given Height formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using height is calculated using Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7). To calculate Long Diagonal 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 Long Diagonal of Heptagon?
In this formula, Long Diagonal of Heptagon uses Height of Heptagon. We can use 7 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 = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7))
  • Long Diagonal of Heptagon = (Perimeter of Heptagon/7)/(2*sin(((pi/2))/7))
  • Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7)
  • Long Diagonal of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
  • Long Diagonal of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(((pi/2))/7))
  • Long Diagonal of Heptagon = Width of Heptagon/1
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