Circumradius of Heptagon given Height Calculator

✖Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Heptagon [h]

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

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Circumradius of Heptagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Circumradius of Heptagon - (Measured in Meter) - Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.
Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Heptagon: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (h*tan(((pi/2))/7))/sin(pi/7) --> (22*tan(((pi/2))/7))/sin(pi/7)

Evaluating ... ...

r_c = 11.5730459196186

STEP 3: Convert Result to Output's Unit

11.5730459196186 Meter --> No Conversion Required

FINAL ANSWER

11.5730459196186 ≈ 11.57305 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 Height Formula

LaTeX Go

Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(pi/7)
r_c = (h*tan(((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 Height?

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

How to calculate Circumradius of Heptagon given Height using this online calculator? To use this online calculator for Circumradius of Heptagon given Height, enter Height of Heptagon (h) and hit the calculate button. Here is how the Circumradius of Heptagon given Height calculation can be explained with given input values -> 11.57305 = (22*tan(((pi/2))/7))/sin(pi/7).

FAQ

What is Circumradius of Heptagon given Height?

The Circumradius of Heptagon given Height formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using height and is represented as r_c = (h*tan(((pi/2))/7))/sin(pi/7) or Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(pi/7). Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Circumradius of Heptagon given Height?

The Circumradius of Heptagon given Height formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using height is calculated using Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(pi/7). To calculate Circumradius of Heptagon given Height, you need Height of Heptagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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