Long Diagonal of Heptagon given Circumradius Calculator

✖Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.ⓘ Circumradius of Heptagon [r_c]

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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 Circumradius [d_Long]

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Long Diagonal of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7)
d_Long = r_c*sin(pi/7)/sin(((pi/2))/7)
This formula uses 1 Constants, 1 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)

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.
Circumradius of Heptagon - (Measured in Meter) - Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Heptagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = r_c*sin(pi/7)/sin(((pi/2))/7) --> 12*sin(pi/7)/sin(((pi/2))/7)

Evaluating ... ...

d_Long = 23.3982698923638

STEP 3: Convert Result to Output's Unit

23.3982698923638 Meter --> No Conversion Required

FINAL ANSWER

23.3982698923638 ≈ 23.39827 Meter <-- Long Diagonal of Heptagon

(Calculation completed in 00.006 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 Circumradius Formula

LaTeX Go

Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7)
d_Long = r_c*sin(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 Circumradius?

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

How to calculate Long Diagonal of Heptagon given Circumradius using this online calculator? To use this online calculator for Long Diagonal of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Long Diagonal of Heptagon given Circumradius calculation can be explained with given input values -> 23.39827 = 12*sin(pi/7)/sin(((pi/2))/7).

FAQ

What is Long Diagonal of Heptagon given Circumradius?

The Long Diagonal of Heptagon given Circumradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using circumradius and is represented as d_Long = r_c*sin(pi/7)/sin(((pi/2))/7) or Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7). Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

How to calculate Long Diagonal of Heptagon given Circumradius?

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