Area of Concave Pentagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Concave Pentagon = 3/(4*(3+sqrt(2))^2)*Perimeter of Concave Pentagon^2
A = 3/(4*(3+sqrt(2))^2)*P^2
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 Pentagon - (Measured in Square Meter) - The Area of Concave Pentagon is the total quantity of plane enclosed by the boundary of the Concave Pentagon.
Perimeter of Concave Pentagon - (Measured in Meter) - The Perimeter of Concave Pentagon is the total length of all the boundary lines of the Concave Pentagon shape.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Concave Pentagon: 18 Meter --> 18 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 3/(4*(3+sqrt(2))^2)*P^2 --> 3/(4*(3+sqrt(2))^2)*18^2
Evaluating ... ...
A = 12.4709515522455
STEP 3: Convert Result to Output's Unit
12.4709515522455 Square Meter --> No Conversion Required
FINAL ANSWER
12.4709515522455 12.47095 Square Meter <-- Area of Concave Pentagon
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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3 Area of Concave Pentagon Calculators

Area of Concave Pentagon given Perimeter
Go Area of Concave Pentagon = 3/(4*(3+sqrt(2))^2)*Perimeter of Concave Pentagon^2
Area of Concave Pentagon given Leg Length of Triangle
Go Area of Concave Pentagon = 3/2*Leg Length of Triangle of Concave Pentagon^2
Area of Concave Pentagon
Go Area of Concave Pentagon = 3/4*Edge Length of Square of Concave Pentagon^2

Area of Concave Pentagon given Perimeter Formula

Area of Concave Pentagon = 3/(4*(3+sqrt(2))^2)*Perimeter of Concave Pentagon^2
A = 3/(4*(3+sqrt(2))^2)*P^2

What is a Concave 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 Pentagon given Perimeter?

Area of Concave Pentagon given Perimeter calculator uses Area of Concave Pentagon = 3/(4*(3+sqrt(2))^2)*Perimeter of Concave Pentagon^2 to calculate the Area of Concave Pentagon, The Area of Concave Pentagon given Perimeter formula is defined as the total quantity of the plane enclosed by the boundary of the Concave Pentagon and calculated using its perimeter. Area of Concave Pentagon is denoted by A symbol.

How to calculate Area of Concave Pentagon given Perimeter using this online calculator? To use this online calculator for Area of Concave Pentagon given Perimeter, enter Perimeter of Concave Pentagon (P) and hit the calculate button. Here is how the Area of Concave Pentagon given Perimeter calculation can be explained with given input values -> 12.47095 = 3/(4*(3+sqrt(2))^2)*18^2.

FAQ

What is Area of Concave Pentagon given Perimeter?
The Area of Concave Pentagon given Perimeter formula is defined as the total quantity of the plane enclosed by the boundary of the Concave Pentagon and calculated using its perimeter and is represented as A = 3/(4*(3+sqrt(2))^2)*P^2 or Area of Concave Pentagon = 3/(4*(3+sqrt(2))^2)*Perimeter of Concave Pentagon^2. The Perimeter of Concave Pentagon is the total length of all the boundary lines of the Concave Pentagon shape.
How to calculate Area of Concave Pentagon given Perimeter?
The Area of Concave Pentagon given Perimeter formula is defined as the total quantity of the plane enclosed by the boundary of the Concave Pentagon and calculated using its perimeter is calculated using Area of Concave Pentagon = 3/(4*(3+sqrt(2))^2)*Perimeter of Concave Pentagon^2. To calculate Area of Concave Pentagon given Perimeter, you need Perimeter of Concave Pentagon (P). With our tool, you need to enter the respective value for Perimeter of Concave 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 Pentagon?
In this formula, Area of Concave Pentagon uses Perimeter of Concave Pentagon. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Concave Pentagon = 3/4*Edge Length of Square of Concave Pentagon^2
  • Area of Concave Pentagon = 3/2*Leg Length of Triangle of Concave Pentagon^2
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