Long Diagonal of Heptagon given Area 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 given Area [d_Long]

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Formula

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Long Diagonal of Heptagon given Area

Formula

`"d"_{"Long"} = (sqrt((4*"A"*tan(pi/7))/7))/(2*sin(((pi/2))/7))`

Example

`"22.51948m"=(sqrt((4*"365m²"*tan(pi/7))/7))/(2*sin(((pi/2))/7))`

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Long Diagonal of Heptagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(((pi/2))/7))
d_Long = (sqrt((4*A*tan(pi/7))/7))/(2*sin(((pi/2))/7))
This formula uses 1 Constants, 3 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Area of Heptagon: 365 Square Meter --> 365 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = (sqrt((4*A*tan(pi/7))/7))/(2*sin(((pi/2))/7)) --> (sqrt((4*365*tan(pi/7))/7))/(2*sin(((pi/2))/7))

Evaluating ... ...

d_Long = 22.5194787018766

STEP 3: Convert Result to Output's Unit

22.5194787018766 Meter --> No Conversion Required

FINAL ANSWER

22.5194787018766 ≈ 22.51948 Meter <-- Long Diagonal of Heptagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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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 Height

Go Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/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 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 Area Formula

Long Diagonal of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(((pi/2))/7))
d_Long = (sqrt((4*A*tan(pi/7))/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 Area?

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

How to calculate Long Diagonal of Heptagon given Area using this online calculator? To use this online calculator for Long Diagonal of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button. Here is how the Long Diagonal of Heptagon given Area calculation can be explained with given input values -> 22.51948 = (sqrt((4*365*tan(pi/7))/7))/(2*sin(((pi/2))/7)).

FAQ

What is Long Diagonal of Heptagon given Area?

The Long diagonal of Heptagon given Area formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using the area and is represented as d_Long = (sqrt((4*A*tan(pi/7))/7))/(2*sin(((pi/2))/7)) or Long Diagonal of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(((pi/2))/7)). The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

How to calculate Long Diagonal of Heptagon given Area?

The Long diagonal of Heptagon given Area formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using the area is calculated using Long Diagonal of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(((pi/2))/7)). To calculate Long Diagonal of Heptagon given Area, you need Area of Heptagon (A). With our tool, you need to enter the respective value for Area 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 Area 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 = (Height of Heptagon*tan(((pi/2))/7))/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 = Width of Heptagon/1

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