Edge Length of Regular Polygon given Area Calculator

✖Area of Regular Polygon is the total region or space enclosed inside the polygon.ⓘ Area of Regular Polygon [A]			+10% -10%
✖The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.ⓘ Number of Sides of Regular Polygon [N_S]			+10% -10%

✖The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.ⓘ Edge Length of Regular Polygon given Area [l_e]

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Edge Length of Regular Polygon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon)
l_e = sqrt(4*A*tan(pi/N_S))/sqrt(N_S)
This formula uses 1 Constants, 2 Functions, 3 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Edge Length of Regular Polygon - (Measured in Meter) - The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.
Area of Regular Polygon - (Measured in Square Meter) - Area of Regular Polygon is the total region or space enclosed inside the polygon.
Number of Sides of Regular Polygon - The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

STEP 1: Convert Input(s) to Base Unit

Area of Regular Polygon: 480 Square Meter --> 480 Square Meter No Conversion Required
Number of Sides of Regular Polygon: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(4*A*tan(pi/N_S))/sqrt(N_S) --> sqrt(4*480*tan(pi/8))/sqrt(8)

Evaluating ... ...

l_e = 9.9705192928725

STEP 3: Convert Result to Output's Unit

9.9705192928725 Meter --> No Conversion Required

FINAL ANSWER

9.9705192928725 ≈ 9.970519 Meter <-- Edge Length of Regular Polygon

(Calculation completed in 00.004 seconds)

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< Edge Length of Regular Polygon Calculators

Edge Length of Regular Polygon given Area

LaTeX Go Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon)

Edge Length of Regular Polygon given Circumradius

LaTeX Go Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)

Edge Length of Regular Polygon given Inradius

LaTeX Go Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon)

Edge Length of Regular Polygon given Perimeter

LaTeX Go Edge Length of Regular Polygon = Perimeter of Regular Polygon/Number of Sides of Regular Polygon

Edge Length of Regular Polygon given Area Formula

LaTeX Go

Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon)
l_e = sqrt(4*A*tan(pi/N_S))/sqrt(N_S)

What is Regular Polygon?

A Regular Polygon has sides of equal length and equal angles between each side. A regular n-sided polygon has rotational symmetry of order n and it is also known as a cyclic polygon. All the vertices of a regular polygon lie on the circumscribed circle.

How to Calculate Edge Length of Regular Polygon given Area?

Edge Length of Regular Polygon given Area calculator uses Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon) to calculate the Edge Length of Regular Polygon, The Edge Length of Regular Polygon given Area formula can be defined as the length of one of the sides of the Regular Polygon. Edge Length of Regular Polygon is denoted by l_e symbol.

How to calculate Edge Length of Regular Polygon given Area using this online calculator? To use this online calculator for Edge Length of Regular Polygon given Area, enter Area of Regular Polygon (A) & Number of Sides of Regular Polygon (N_S) and hit the calculate button. Here is how the Edge Length of Regular Polygon given Area calculation can be explained with given input values -> 9.970519 = sqrt(4*480*tan(pi/8))/sqrt(8).

FAQ

What is Edge Length of Regular Polygon given Area?

The Edge Length of Regular Polygon given Area formula can be defined as the length of one of the sides of the Regular Polygon and is represented as l_e = sqrt(4*A*tan(pi/N_S))/sqrt(N_S) or Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon). Area of Regular Polygon is the total region or space enclosed inside the polygon & The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

How to calculate Edge Length of Regular Polygon given Area?

The Edge Length of Regular Polygon given Area formula can be defined as the length of one of the sides of the Regular Polygon is calculated using Edge Length of Regular Polygon = sqrt(4*Area of Regular Polygon*tan(pi/Number of Sides of Regular Polygon))/sqrt(Number of Sides of Regular Polygon). To calculate Edge Length of Regular Polygon given Area, you need Area of Regular Polygon (A) & Number of Sides of Regular Polygon (N_S). With our tool, you need to enter the respective value for Area of Regular Polygon & Number of Sides of Regular Polygon 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 Edge Length of Regular Polygon?

In this formula, Edge Length of Regular Polygon uses Area of Regular Polygon & Number of Sides of Regular Polygon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Regular Polygon = 2*Circumradius of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)
Edge Length of Regular Polygon = Perimeter of Regular Polygon/Number of Sides of Regular Polygon
Edge Length of Regular Polygon = Inradius of Regular Polygon*2*tan(pi/Number of Sides of Regular Polygon)

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