Width 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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✖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 given Circumradius [w]

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Width of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

w = 23.3982698923638

STEP 3: Convert Result to Output's Unit

23.3982698923638 Meter --> No Conversion Required

FINAL ANSWER

23.3982698923638 ≈ 23.39827 Meter <-- Width of Heptagon

(Calculation completed in 00.021 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Width of Heptagon Calculators

Width of Heptagon given Area

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

Width of Heptagon given Circumradius

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

Width of Heptagon given Inradius

LaTeX Go Width of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)

Width of Heptagon

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

Width of Heptagon given Circumradius Formula

LaTeX Go

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

Width of Heptagon given Circumradius calculator uses Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7) to calculate the Width of Heptagon, The Width of Heptagon given Circumradius formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the circumradius of the Heptagon. Width of Heptagon is denoted by w symbol.

How to calculate Width of Heptagon given Circumradius using this online calculator? To use this online calculator for Width of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Width 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 Width of Heptagon given Circumradius?

The Width of Heptagon given Circumradius formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the circumradius of the Heptagon and is represented as w = r_c*sin(pi/7)/sin(((pi/2))/7) or Width 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 Width of Heptagon given Circumradius?

The Width of Heptagon given Circumradius formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the circumradius of the Heptagon is calculated using Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7). To calculate Width 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 Width of Heptagon?

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

Width of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Width of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7))

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