Circumradius of Heptagon given Short Diagonal 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 [d_Short]

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

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Formula

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Circumradius of Heptagon given Short Diagonal

Formula

`"r"_{"c"} = ("d"_{"Short"}/(2*cos(pi/7)))/(2*sin(pi/7))`

Example

`"11.51143m"=("18m"/(2*cos(pi/7)))/(2*sin(pi/7))`

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Circumradius of Heptagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7))
r_c = (d_Short/(2*cos(pi/7)))/(2*sin(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

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

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Heptagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (d_Short/(2*cos(pi/7)))/(2*sin(pi/7)) --> (18/(2*cos(pi/7)))/(2*sin(pi/7))

Evaluating ... ...

r_c = 11.5114320692094

STEP 3: Convert Result to Output's Unit

11.5114320692094 Meter --> No Conversion Required

FINAL ANSWER

11.5114320692094 ≈ 11.51143 Meter <-- Circumradius of Heptagon

(Calculation completed in 00.004 seconds)

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< 8 Circumradius of Heptagon Calculators

Circumradius of Heptagon given Area

Go Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7))

Circumradius of Heptagon given Short Diagonal

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

Circumradius of Heptagon given Long Diagonal

Go Circumradius of Heptagon = Long Diagonal of Heptagon*sin(((pi/2))/7)/sin(pi/7)

Circumradius of Heptagon given Height

Go Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(pi/7)

Circumradius of Heptagon given Width

Go Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7)

Circumradius of Heptagon given Inradius

Go Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7)

Circumradius of Heptagon given Perimeter

Go Circumradius of Heptagon = (Perimeter of Heptagon/7)/(2*sin(pi/7))

Circumradius of Heptagon

Go Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7))

Circumradius of Heptagon given Short Diagonal Formula

Circumradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7))
r_c = (d_Short/(2*cos(pi/7)))/(2*sin(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 Circumradius of Heptagon given Short Diagonal?

Circumradius of Heptagon given Short Diagonal calculator uses Circumradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7)) to calculate the Circumradius of Heptagon, The Circumradius of Heptagon given Short Diagonal formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using short diagonal. Circumradius of Heptagon is denoted by r_c symbol.

How to calculate Circumradius of Heptagon given Short Diagonal using this online calculator? To use this online calculator for Circumradius of Heptagon given Short Diagonal, enter Short Diagonal of Heptagon (d_Short) and hit the calculate button. Here is how the Circumradius of Heptagon given Short Diagonal calculation can be explained with given input values -> 11.51143 = (18/(2*cos(pi/7)))/(2*sin(pi/7)).

FAQ

What is Circumradius of Heptagon given Short Diagonal?

The Circumradius of Heptagon given Short Diagonal formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using short diagonal and is represented as r_c = (d_Short/(2*cos(pi/7)))/(2*sin(pi/7)) or Circumradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7)). Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

How to calculate Circumradius of Heptagon given Short Diagonal?

The Circumradius of Heptagon given Short Diagonal formula is defined as the length of the straight line from the center to any point on the circumcircle of the Heptagon, calculated using short diagonal is calculated using Circumradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7)). To calculate Circumradius of Heptagon given Short Diagonal, you need Short Diagonal of Heptagon (d_Short). With our tool, you need to enter the respective value for Short Diagonal 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 Circumradius of Heptagon?

In this formula, Circumradius of Heptagon uses Short Diagonal of Heptagon. We can use 7 other way(s) to calculate the same, which is/are as follows -

Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7))
Circumradius of Heptagon = Long Diagonal of Heptagon*sin(((pi/2))/7)/sin(pi/7)
Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(pi/7)
Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7)
Circumradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7))
Circumradius of Heptagon = (Perimeter of Heptagon/7)/(2*sin(pi/7))
Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7)

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