Long Diagonal of Heptagon given Inradius Calculator

✖Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.ⓘ Inradius of Heptagon [r_i]

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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 Inradius [d_Long]

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Long Diagonal of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
d_Long = r_i*tan(pi/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.
Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Heptagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = r_i*tan(pi/7)/sin(((pi/2))/7) --> 11*tan(pi/7)/sin(((pi/2))/7)

Evaluating ... ...

d_Long = 23.8059436148277

STEP 3: Convert Result to Output's Unit

23.8059436148277 Meter --> No Conversion Required

FINAL ANSWER

23.8059436148277 ≈ 23.80594 Meter <-- Long Diagonal of Heptagon

(Calculation completed in 00.004 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 Inradius Formula

LaTeX Go

Long Diagonal of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
d_Long = r_i*tan(pi/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 Inradius?

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

How to calculate Long Diagonal of Heptagon given Inradius using this online calculator? To use this online calculator for Long Diagonal of Heptagon given Inradius, enter Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Long Diagonal of Heptagon given Inradius calculation can be explained with given input values -> 23.80594 = 11*tan(pi/7)/sin(((pi/2))/7).

FAQ

What is Long Diagonal of Heptagon given Inradius?

The Long Diagonal of Heptagon given Inradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using inradius and is represented as d_Long = r_i*tan(pi/7)/sin(((pi/2))/7) or Long Diagonal of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7). Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Long Diagonal of Heptagon given Inradius?

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

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