Edge Length of Concave Regular Pentagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Concave Regular Pentagon = sqrt((4*Area of Concave Regular Pentagon)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))))
le = sqrt((4*A)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))))
This formula uses 1 Functions, 2 Variables
Functions Used
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 Concave Regular Pentagon - (Measured in Meter) - The Edge Length of Concave Regular Pentagon is the length of any edge of the Concave Regular Pentagon shape.
Area of Concave Regular Pentagon - (Measured in Square Meter) - The Area of Concave Regular Pentagon is the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon.
STEP 1: Convert Input(s) to Base Unit
Area of Concave Regular Pentagon: 19 Square Meter --> 19 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = sqrt((4*A)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))) --> sqrt((4*19)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))))
Evaluating ... ...
le = 4.96929541421124
STEP 3: Convert Result to Output's Unit
4.96929541421124 Meter --> No Conversion Required
FINAL ANSWER
4.96929541421124 4.969295 Meter <-- Edge Length of Concave Regular Pentagon
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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Edge Length of Concave Regular Pentagon Calculators

Edge Length of Concave Regular Pentagon given Area
​ LaTeX ​ Go Edge Length of Concave Regular Pentagon = sqrt((4*Area of Concave Regular Pentagon)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))))
Edge Length of Concave Regular Pentagon given Distance of Tips
​ LaTeX ​ Go Edge Length of Concave Regular Pentagon = (2*Distance of Tips of Concave Regular Pentagon)/((1+sqrt(5)))
Edge Length of Concave Regular Pentagon given Perimeter
​ LaTeX ​ Go Edge Length of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon/5

Edge Length of Concave Regular Pentagon given Area Formula

​LaTeX ​Go
Edge Length of Concave Regular Pentagon = sqrt((4*Area of Concave Regular Pentagon)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))))
le = sqrt((4*A)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))))

What is a Concave Regular Pentagon?

A pentagon is a geometrical shape, which has five sides and five angles. Here, “Penta” denotes five and “gon” denotes angle. The pentagon is one of the types of polygons. The sum of all the interior angles for a regular pentagon is 540 degrees. If a pentagon is regular, then all the sides are equal in length, and five angles are of equal measures. If the pentagon does not have equal side length and angle measure, then it is known as an irregular pentagon. If all the vertices of a pentagon are pointing outwards, it is known as a convex pentagon. If a pentagon has at least one vertex pointing inside, then the pentagon is known as a concave pentagon.

How to Calculate Edge Length of Concave Regular Pentagon given Area?

Edge Length of Concave Regular Pentagon given Area calculator uses Edge Length of Concave Regular Pentagon = sqrt((4*Area of Concave Regular Pentagon)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))) to calculate the Edge Length of Concave Regular Pentagon, The Edge Length of Concave Regular Pentagon given Area formula is defined as the length of any edge of the Concave Regular Pentagon shape and calculated using its area. Edge Length of Concave Regular Pentagon is denoted by le symbol.

How to calculate Edge Length of Concave Regular Pentagon given Area using this online calculator? To use this online calculator for Edge Length of Concave Regular Pentagon given Area, enter Area of Concave Regular Pentagon (A) and hit the calculate button. Here is how the Edge Length of Concave Regular Pentagon given Area calculation can be explained with given input values -> 4.969295 = sqrt((4*19)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))).

FAQ

What is Edge Length of Concave Regular Pentagon given Area?
The Edge Length of Concave Regular Pentagon given Area formula is defined as the length of any edge of the Concave Regular Pentagon shape and calculated using its area and is represented as le = sqrt((4*A)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))) or Edge Length of Concave Regular Pentagon = sqrt((4*Area of Concave Regular Pentagon)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))). The Area of Concave Regular Pentagon is the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon.
How to calculate Edge Length of Concave Regular Pentagon given Area?
The Edge Length of Concave Regular Pentagon given Area formula is defined as the length of any edge of the Concave Regular Pentagon shape and calculated using its area is calculated using Edge Length of Concave Regular Pentagon = sqrt((4*Area of Concave Regular Pentagon)/(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))). To calculate Edge Length of Concave Regular Pentagon given Area, you need Area of Concave Regular Pentagon (A). With our tool, you need to enter the respective value for Area of Concave Regular Pentagon 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 Concave Regular Pentagon?
In this formula, Edge Length of Concave Regular Pentagon uses Area of Concave Regular Pentagon. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Concave Regular Pentagon = (2*Distance of Tips of Concave Regular Pentagon)/((1+sqrt(5)))
  • Edge Length of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon/5
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