Area of Heptagon given Inradius Calculator

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

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✖The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.ⓘ Area of Heptagon given Inradius [A]

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Area of Heptagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7)
A = 7/4*(r_i*2*tan(pi/7))^2/tan(pi/7)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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

Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
Inradius of Heptagon - (Measured in Meter) - Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Heptagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 7/4*(r_i*2*tan(pi/7))^2/tan(pi/7) --> 7/4*(11*2*tan(pi/7))^2/tan(pi/7)

Evaluating ... ...

A = 407.893702129977

STEP 3: Convert Result to Output's Unit

407.893702129977 Square Meter --> No Conversion Required

FINAL ANSWER

407.893702129977 ≈ 407.8937 Square Meter <-- Area of Heptagon

(Calculation completed in 00.020 seconds)

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< Area of Heptagon Calculators

Area of Heptagon given Long Diagonal

LaTeX Go Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)

Area of Heptagon given Short Diagonal

LaTeX Go Area of Heptagon = 7/4*((Short Diagonal of Heptagon/(2*cos(pi/7)))^2)/tan(pi/7)

Area of Heptagon given Height

LaTeX Go Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

Area of Triangle of Heptagon given Inradius

LaTeX Go Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon

Area of Heptagon given Inradius Formula

LaTeX Go

Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7)
A = 7/4*(r_i*2*tan(pi/7))^2/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 Area of Heptagon given Inradius?

Area of Heptagon given Inradius calculator uses Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7) to calculate the Area of Heptagon, The Area of Heptagon given Inradius formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using inradius. Area of Heptagon is denoted by A symbol.

How to calculate Area of Heptagon given Inradius using this online calculator? To use this online calculator for Area of Heptagon given Inradius, enter Inradius of Heptagon (r_i) and hit the calculate button. Here is how the Area of Heptagon given Inradius calculation can be explained with given input values -> 407.8937 = 7/4*(11*2*tan(pi/7))^2/tan(pi/7).

FAQ

What is Area of Heptagon given Inradius?

The Area of Heptagon given Inradius formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using inradius and is represented as A = 7/4*(r_i*2*tan(pi/7))^2/tan(pi/7) or Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7). Inradius of Heptagon is defined as the radius of the circle which is inscribed inside the Heptagon.

How to calculate Area of Heptagon given Inradius?

The Area of Heptagon given Inradius formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using inradius is calculated using Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7). To calculate Area of Heptagon given Inradius, you need Inradius of Heptagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Area of Heptagon?

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

Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon = 7/4*((Short Diagonal of Heptagon/(2*cos(pi/7)))^2)/tan(pi/7)
Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

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