Inradius 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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✖Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.ⓘ Inradius of Heptagon given Circumradius [r_i]

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Inradius of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the 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

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

Evaluating ... ...

r_i = 10.811626414829

STEP 3: Convert Result to Output's Unit

10.811626414829 Meter --> No Conversion Required

FINAL ANSWER

10.811626414829 ≈ 10.81163 Meter <-- Inradius of Heptagon

(Calculation completed in 00.004 seconds)

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< Inradius of Heptagon Calculators

Inradius of Heptagon given Short Diagonal

LaTeX Go Inradius of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(pi/7))

Inradius of Heptagon given Long Diagonal

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

Inradius of Heptagon given Circumradius

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

Inradius of Heptagon

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

Inradius of Heptagon given Circumradius Formula

LaTeX Go

Inradius of Heptagon = Circumradius of Heptagon*sin(pi/7)/tan(pi/7)
r_i = r_c*sin(pi/7)/tan(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 Inradius of Heptagon given Circumradius?

Inradius of Heptagon given Circumradius calculator uses Inradius of Heptagon = Circumradius of Heptagon*sin(pi/7)/tan(pi/7) to calculate the Inradius of Heptagon, Inradius of Heptagon given Circumradius is defined as the length of the straight line from the center to any point on the incircle of the Heptagon, calculated using circumradius. Inradius of Heptagon is denoted by r_i symbol.

How to calculate Inradius of Heptagon given Circumradius using this online calculator? To use this online calculator for Inradius of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Inradius of Heptagon given Circumradius calculation can be explained with given input values -> 10.81163 = 12*sin(pi/7)/tan(pi/7).

FAQ

What is Inradius of Heptagon given Circumradius?

Inradius of Heptagon given Circumradius is defined as the length of the straight line from the center to any point on the incircle of the Heptagon, calculated using circumradius and is represented as r_i = r_c*sin(pi/7)/tan(pi/7) or Inradius of Heptagon = Circumradius of Heptagon*sin(pi/7)/tan(pi/7). Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

How to calculate Inradius of Heptagon given Circumradius?

Inradius of Heptagon given Circumradius is defined as the length of the straight line from the center to any point on the incircle of the Heptagon, calculated using circumradius is calculated using Inradius of Heptagon = Circumradius of Heptagon*sin(pi/7)/tan(pi/7). To calculate Inradius 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 Inradius of Heptagon?

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

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

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