Area of Concave Regular Pentagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
A = P^2/100*(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
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.
Perimeter of Concave Regular Pentagon - (Measured in Meter) - The Perimeter of Concave Regular Pentagon is the total length of all the boundary lines of the Concave Regular Pentagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Concave Regular Pentagon: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = P^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))) --> 25^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
Evaluating ... ...
A = 19.2355221073453
STEP 3: Convert Result to Output's Unit
19.2355221073453 Square Meter --> No Conversion Required
FINAL ANSWER
19.2355221073453 19.23552 Square Meter <-- Area of Concave Regular Pentagon
(Calculation completed in 00.021 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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Area of Concave Regular Pentagon Calculators

Area of Concave Regular Pentagon given Distance of Tips
​ LaTeX ​ Go Area of Concave Regular Pentagon = (Distance of Tips of Concave Regular Pentagon/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
Area of Concave Regular Pentagon given Perimeter
​ LaTeX ​ Go Area of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
Area of Concave Regular Pentagon
​ LaTeX ​ Go Area of Concave Regular Pentagon = Edge Length of Concave Regular Pentagon^2/4*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))

Area of Concave Regular Pentagon given Perimeter Formula

​LaTeX ​Go
Area of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
A = P^2/100*(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 Area of Concave Regular Pentagon given Perimeter?

Area of Concave Regular Pentagon given Perimeter calculator uses Area of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))) to calculate the Area of Concave Regular Pentagon, The Area of Concave Regular Pentagon given Perimeter formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon and calculated using its perimeter. Area of Concave Regular Pentagon is denoted by A symbol.

How to calculate Area of Concave Regular Pentagon given Perimeter using this online calculator? To use this online calculator for Area of Concave Regular Pentagon given Perimeter, enter Perimeter of Concave Regular Pentagon (P) and hit the calculate button. Here is how the Area of Concave Regular Pentagon given Perimeter calculation can be explained with given input values -> 19.23552 = 25^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))).

FAQ

What is Area of Concave Regular Pentagon given Perimeter?
The Area of Concave Regular Pentagon given Perimeter formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon and calculated using its perimeter and is represented as A = P^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))) or Area of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))). The Perimeter of Concave Regular Pentagon is the total length of all the boundary lines of the Concave Regular Pentagon.
How to calculate Area of Concave Regular Pentagon given Perimeter?
The Area of Concave Regular Pentagon given Perimeter formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon and calculated using its perimeter is calculated using Area of Concave Regular Pentagon = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))). To calculate Area of Concave Regular Pentagon given Perimeter, you need Perimeter of Concave Regular Pentagon (P). With our tool, you need to enter the respective value for Perimeter 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 Area of Concave Regular Pentagon?
In this formula, Area of Concave Regular Pentagon uses Perimeter of Concave Regular Pentagon. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Concave Regular Pentagon = Edge Length of Concave Regular Pentagon^2/4*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
  • Area of Concave Regular Pentagon = (Distance of Tips of Concave Regular Pentagon/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
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