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Inradius of Heptagon Formula

GoInradius of Heptagon given Area of Triangle Formula

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Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon. Check FAQs

r i = \frac{S}{2 \cdot \tan (\frac{π}{7})}

r_i - Inradius of Heptagon?S - Side of Heptagon?π - Archimedes' constant?

Inradius of Heptagon Example

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Here is how the Inradius of Heptagon equation looks like with Values.

Here is how the Inradius of Heptagon equation looks like with Units.

Here is how the Inradius of Heptagon equation looks like.

10.3826 = \frac{10}{2 \cdot \tan (\frac{3.1416}{7})}

10.3826m = \frac{10m}{2 \cdot \tan (\frac{3.1416}{7})}

10.3826 = \frac{10}{2 \cdot \tan (\frac{3.1416}{7})}

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Inradius of Heptagon Solution

Follow our step by step solution on how to calculate Inradius of Heptagon?

FIRST Step Consider the formula

r i = \frac{S}{2 \cdot \tan (\frac{π}{7})}

Next Step Substitute values of Variables

∴

r i = \frac{10m}{2 \cdot \tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r i = \frac{10m}{2 \cdot \tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r i = \frac{10}{2 \cdot \tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

r i = 10.3826069828617m

LAST Step Rounding Answer

∴

r i = 10.3826m

Inradius of Heptagon Formula Elements

Variables

Constants

Functions

Inradius of Heptagon

Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Heptagon

Side of Heptagon

Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Heptagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: tan(Angle)

Other Formulas to find Inradius of Heptagon

Go Inradius of Heptagon given Area of Triangle

r i = \frac{2 \cdot A Triangle}{S}

Other formulas in Inradius of Heptagon category

Go Circumradius of Heptagon

r c = \frac{S}{2 \cdot \sin (\frac{π}{7})}

Go Circumradius of Heptagon given Area

r c = \frac{\sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \sin (\frac{π}{7})}

How to Evaluate Inradius of Heptagon?

Inradius of Heptagon evaluator uses Inradius of Heptagon = Side of Heptagon/(2*tan(pi/7)) to evaluate the Inradius of Heptagon, Inradius of Heptagon formula is defined as the length of the straight line from the center to any point on the incircle of the Heptagon. Inradius of Heptagon is denoted by r_i symbol.

How to evaluate Inradius of Heptagon using this online evaluator? To use this online evaluator for Inradius of Heptagon, enter Side of Heptagon (S) and hit the calculate button.

FAQs on Inradius of Heptagon

What is the formula to find Inradius of Heptagon?

The formula of Inradius of Heptagon is expressed as Inradius of Heptagon = Side of Heptagon/(2*tan(pi/7)). Here is an example- 10.38261 = 10/(2*tan(pi/7)).

How to calculate Inradius of Heptagon?

With Side of Heptagon (S) we can find Inradius of Heptagon using the formula - Inradius of Heptagon = Side of Heptagon/(2*tan(pi/7)). This formula also uses Archimedes' constant and Tangent function(s).

What are the other ways to Calculate Inradius of Heptagon?

Here are the different ways to Calculate Inradius of Heptagon-

Inradius of Heptagon=(2*Area of Triangle of Heptagon)/Side of Heptagon

Can the Inradius of Heptagon be negative?

No, the Inradius of Heptagon, measured in Length cannot be negative.

Which unit is used to measure Inradius of Heptagon?

Inradius of Heptagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Heptagon can be measured.

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