Short Diagonal of Heptagon given Inradius Calculator

✖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 Inradius [d_Short]

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Formula

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Short Diagonal of Heptagon given Inradius

Formula

`"d"_{"Short"} = 4*"r"_{"i"}*tan(pi/7)*cos(pi/7)`

Example

`"19.09088m"=4*"11m"*tan(pi/7)*cos(pi/7)`

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Short Diagonal of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Heptagon = 4*Inradius of Heptagon*tan(pi/7)*cos(pi/7)
d_Short = 4*r_i*tan(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

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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

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.
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_Short = 4*r_i*tan(pi/7)*cos(pi/7) --> 4*11*tan(pi/7)*cos(pi/7)

Evaluating ... ...

d_Short = 19.0908845211726

STEP 3: Convert Result to Output's Unit

19.0908845211726 Meter --> No Conversion Required

FINAL ANSWER

19.0908845211726 ≈ 19.09088 Meter <-- Short Diagonal of Heptagon

(Calculation completed in 00.004 seconds)

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< 8 Short Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Area

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

Short Diagonal of Heptagon given Long Diagonal

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

Short Diagonal of Heptagon given Circumradius

Go Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7)

Short Diagonal of Heptagon given Height

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

Short Diagonal of Heptagon given Width

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

Short Diagonal of Heptagon given Inradius

Go Short Diagonal of Heptagon = 4*Inradius of Heptagon*tan(pi/7)*cos(pi/7)

Short Diagonal of Heptagon given Perimeter

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

Short Diagonal of Heptagon

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

Short Diagonal of Heptagon given Inradius Formula

Short Diagonal of Heptagon = 4*Inradius of Heptagon*tan(pi/7)*cos(pi/7)
d_Short = 4*r_i*tan(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 Inradius?

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

How to calculate Short Diagonal of Heptagon given Inradius using this online calculator? To use this online calculator for Short Diagonal of Heptagon given Inradius, enter Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Short Diagonal of Heptagon given Inradius calculation can be explained with given input values -> 19.09088 = 4*11*tan(pi/7)*cos(pi/7).

FAQ

What is Short Diagonal of Heptagon given Inradius?

The Short Diagonal of Heptagon given Inradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using inradius and is represented as d_Short = 4*r_i*tan(pi/7)*cos(pi/7) or Short Diagonal of Heptagon = 4*Inradius of Heptagon*tan(pi/7)*cos(pi/7). Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Short Diagonal of Heptagon given Inradius?

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

In this formula, Short Diagonal of Heptagon uses Inradius of Heptagon. We can use 7 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)
Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7)
Short Diagonal of Heptagon = 2*sqrt((4*Area of Heptagon*tan(pi/7))/7)*cos(pi/7)
Short Diagonal of Heptagon = 4*Width of Heptagon*sin(((pi/2))/7)*cos(pi/7)

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