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

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Area of Heptagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7)
A = 7/4*(2*r_c*sin(pi/7))^2/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

Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by 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

A = 7/4*(2*r_c*sin(pi/7))^2/tan(pi/7) --> 7/4*(2*12*sin(pi/7))^2/tan(pi/7)

Evaluating ... ...

A = 394.043067163887

STEP 3: Convert Result to Output's Unit

394.043067163887 Square Meter --> No Conversion Required

FINAL ANSWER

394.043067163887 ≈ 394.0431 Square Meter <-- Area of Heptagon

(Calculation completed in 00.006 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 Circumradius Formula

LaTeX Go

Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7)
A = 7/4*(2*r_c*sin(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 Circumradius?

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

How to calculate Area of Heptagon given Circumradius using this online calculator? To use this online calculator for Area of Heptagon given Circumradius, enter Circumradius of Heptagon (r_c) and hit the calculate button. Here is how the Area of Heptagon given Circumradius calculation can be explained with given input values -> 394.0431 = 7/4*(2*12*sin(pi/7))^2/tan(pi/7).

FAQ

What is Area of Heptagon given Circumradius?

The Area of Heptagon given Circumradius formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using circumradius and is represented as A = 7/4*(2*r_c*sin(pi/7))^2/tan(pi/7) or Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7). Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

How to calculate Area of Heptagon given Circumradius?

The Area of Heptagon given Circumradius formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using circumradius is calculated using Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7). To calculate Area 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 Area of Heptagon?

In this formula, Area of Heptagon uses Circumradius 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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