Short 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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✖Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.ⓘ Short Diagonal of Heptagon given Circumradius [d_Short]

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Short Diagonal of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7)
d_Short = 4*r_c*sin(pi/7)*cos(pi/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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Short Diagonal of Heptagon - (Measured in Meter) - Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two 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_Short = 4*r_c*sin(pi/7)*cos(pi/7) --> 4*12*sin(pi/7)*cos(pi/7)

Evaluating ... ...

d_Short = 18.7639555792327

STEP 3: Convert Result to Output's Unit

18.7639555792327 Meter --> No Conversion Required

FINAL ANSWER

18.7639555792327 ≈ 18.76396 Meter <-- Short Diagonal of Heptagon

(Calculation completed in 00.017 seconds)

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< Short Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Long Diagonal

LaTeX Go Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)

Short Diagonal of Heptagon given Height

LaTeX Go Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)

Short Diagonal of Heptagon given Perimeter

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

Short Diagonal of Heptagon

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

Short Diagonal of Heptagon given Circumradius Formula

LaTeX Go

Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7)
d_Short = 4*r_c*sin(pi/7)*cos(pi/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 Short Diagonal of Heptagon given Circumradius?

Short Diagonal of Heptagon given Circumradius calculator uses Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7) to calculate the Short Diagonal of Heptagon, The Short Diagonal of Heptagon given Circumradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using circumradius. Short Diagonal of Heptagon is denoted by d_Short symbol.

How to calculate Short Diagonal of Heptagon given Circumradius using this online calculator? To use this online calculator for Short Diagonal of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Short Diagonal of Heptagon given Circumradius calculation can be explained with given input values -> 18.76396 = 4*12*sin(pi/7)*cos(pi/7).

FAQ

What is Short Diagonal of Heptagon given Circumradius?

The Short Diagonal of Heptagon given Circumradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using circumradius and is represented as d_Short = 4*r_c*sin(pi/7)*cos(pi/7) or Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7). Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

How to calculate Short Diagonal of Heptagon given Circumradius?

The Short Diagonal of Heptagon given Circumradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using circumradius is calculated using Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7). To calculate Short 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 Short Diagonal of Heptagon?

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

Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)

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