Inradius of Heptagon given Area of Triangle Calculator

✖Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices.ⓘ Area of Triangle of Heptagon [A_Triangle]			+10% -10%
✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon [S]			+10% -10%

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

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Formula

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Inradius of Heptagon given Area of Triangle

Formula

`"r"_{"i"} = (2*"A"_{"Triangle"})/"S"`

Example

`"10m"=(2*"50m²")/"10m"`

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Inradius of Heptagon given Area of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Heptagon = (2*Area of Triangle of Heptagon)/Side of Heptagon
r_i = (2*A_Triangle)/S
This formula uses 3 Variables

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.
Area of Triangle of Heptagon - (Measured in Square Meter) - Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices.
Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

STEP 1: Convert Input(s) to Base Unit

Area of Triangle of Heptagon: 50 Square Meter --> 50 Square Meter No Conversion Required
Side of Heptagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (2*A_Triangle)/S --> (2*50)/10

Evaluating ... ...

r_i = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Inradius of Heptagon

(Calculation completed in 00.004 seconds)

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< 9 Inradius of Heptagon Calculators

Inradius of Heptagon given Area

Go Inradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*tan(pi/7))

Inradius of Heptagon given Short Diagonal

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

Inradius of Heptagon given Long Diagonal

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

Inradius of Heptagon given Height

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

Inradius of Heptagon given Circumradius

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

Inradius of Heptagon given Width

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

Inradius of Heptagon given Perimeter

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

Inradius of Heptagon

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

Inradius of Heptagon given Area of Triangle

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

< 4 Radius of Heptagon Calculators

Circumradius of Heptagon given Area

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

Circumradius of Heptagon

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

Inradius of Heptagon

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

Inradius of Heptagon given Area of Triangle

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

Inradius of Heptagon given Area of Triangle Formula

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

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 Area of Triangle?

Inradius of Heptagon given Area of Triangle calculator uses Inradius of Heptagon = (2*Area of Triangle of Heptagon)/Side of Heptagon to calculate the Inradius of Heptagon, The Inradius of Heptagon given Area of Triangle formula is defined as the length of the straight line from the center to any point on the incircle of Heptagon, calculated using area of triangle of the Heptagon. Inradius of Heptagon is denoted by r_i symbol.

How to calculate Inradius of Heptagon given Area of Triangle using this online calculator? To use this online calculator for Inradius of Heptagon given Area of Triangle, enter Area of Triangle of Heptagon (A_Triangle) & Side of Heptagon (S) and hit the calculate button. Here is how the Inradius of Heptagon given Area of Triangle calculation can be explained with given input values -> 10 = (2*50)/10.

FAQ

What is Inradius of Heptagon given Area of Triangle?

The Inradius of Heptagon given Area of Triangle formula is defined as the length of the straight line from the center to any point on the incircle of Heptagon, calculated using area of triangle of the Heptagon and is represented as r_i = (2*A_Triangle)/S or Inradius of Heptagon = (2*Area of Triangle of Heptagon)/Side of Heptagon. Area of Triangle of Heptagon is the amount of space occupied by the isosceles triangle formed when a straight line is drawn from the center towards all the vertices & Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

How to calculate Inradius of Heptagon given Area of Triangle?

The Inradius of Heptagon given Area of Triangle formula is defined as the length of the straight line from the center to any point on the incircle of Heptagon, calculated using area of triangle of the Heptagon is calculated using Inradius of Heptagon = (2*Area of Triangle of Heptagon)/Side of Heptagon. To calculate Inradius of Heptagon given Area of Triangle, you need Area of Triangle of Heptagon (A_Triangle) & Side of Heptagon (S). With our tool, you need to enter the respective value for Area of Triangle of Heptagon & Side 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 Area of Triangle of Heptagon & Side of Heptagon. We can use 9 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 = Circumradius of Heptagon*sin(pi/7)/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))
Inradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/tan(pi/7)
Inradius of Heptagon = (Perimeter of Heptagon/7)/(2*tan(pi/7))
Inradius of Heptagon = (sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*tan(pi/7))
Inradius of Heptagon = Width of Heptagon*sin(((pi/2))/7)/tan(pi/7)
Inradius of Heptagon = Side of Heptagon/(2*tan(pi/7))

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