Circumradius of Heptagon given Width Calculator

✖The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.ⓘ Width of Heptagon [w]

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

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Circumradius of Heptagon given Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Circumradius of Heptagon - (Measured in Meter) - Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.
Width of Heptagon - (Measured in Meter) - The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.

STEP 1: Convert Input(s) to Base Unit

Width of Heptagon: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = w*sin(((pi/2))/7)/sin(pi/7) --> 23*sin(((pi/2))/7)/sin(pi/7)

Evaluating ... ...

r_c = 11.7957439276344

STEP 3: Convert Result to Output's Unit

11.7957439276344 Meter --> No Conversion Required

FINAL ANSWER

11.7957439276344 ≈ 11.79574 Meter <-- Circumradius of Heptagon

(Calculation completed in 00.004 seconds)

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< Circumradius of Heptagon Calculators

Circumradius of Heptagon given Short Diagonal

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

Circumradius of Heptagon given Long Diagonal

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

Circumradius of Heptagon given Height

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

Circumradius of Heptagon

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

Circumradius of Heptagon given Width Formula

LaTeX Go

Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7)
r_c = w*sin(((pi/2))/7)/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 Width?

Circumradius of Heptagon given Width calculator uses Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7) to calculate the Circumradius of Heptagon, The Circumradius of Heptagon given Width formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using its width. Circumradius of Heptagon is denoted by r_c symbol.

How to calculate Circumradius of Heptagon given Width using this online calculator? To use this online calculator for Circumradius of Heptagon given Width, enter Width of Heptagon (w) and hit the calculate button. Here is how the Circumradius of Heptagon given Width calculation can be explained with given input values -> 11.79574 = 23*sin(((pi/2))/7)/sin(pi/7).

FAQ

What is Circumradius of Heptagon given Width?

The Circumradius of Heptagon given Width formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using its width and is represented as r_c = w*sin(((pi/2))/7)/sin(pi/7) or Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7). The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.

How to calculate Circumradius of Heptagon given Width?

The Circumradius of Heptagon given Width formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using its width is calculated using Circumradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/sin(pi/7). To calculate Circumradius of Heptagon given Width, you need Width of Heptagon (w). With our tool, you need to enter the respective value for Width 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 Width of Heptagon. We can use 3 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 = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7))

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