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

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Height of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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

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

Evaluating ... ...

h = 22.811626414829

STEP 3: Convert Result to Output's Unit

22.811626414829 Meter --> No Conversion Required

FINAL ANSWER

22.811626414829 ≈ 22.81163 Meter <-- Height of Heptagon

(Calculation completed in 00.007 seconds)

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< Height of Heptagon Calculators

Height of Heptagon given Circumradius

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

Height of Heptagon given Long Diagonal

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

Height of Heptagon given Inradius

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

Height of Heptagon

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

Height of Heptagon given Circumradius Formula

LaTeX Go

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

Height of Heptagon given Circumradius calculator uses Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7)) to calculate the Height of Heptagon, The Height of Heptagon given Circumradius formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using circumradius. Height of Heptagon is denoted by h symbol.

How to calculate Height of Heptagon given Circumradius using this online calculator? To use this online calculator for Height of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Height of Heptagon given Circumradius calculation can be explained with given input values -> 22.81163 = (12*2*sin(pi/7))/(2*tan(((pi/2))/7)).

FAQ

What is Height of Heptagon given Circumradius?

The Height of Heptagon given Circumradius formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using circumradius and is represented as h = (r_c*2*sin(pi/7))/(2*tan(((pi/2))/7)) or Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7)). Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

How to calculate Height of Heptagon given Circumradius?

The Height of Heptagon given Circumradius formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using circumradius is calculated using Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7)). To calculate Height 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 Height of Heptagon?

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

Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7))
Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7))
Height of Heptagon = Long Diagonal of Heptagon*sin(((pi/2))/7)/tan(((pi/2))/7)

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