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Area of Concave Regular Pentagon given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
A = (((P/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (((P/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) --> (((20/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
Evaluating ... ...
A = 12.310734148701
STEP 3: Convert Result to Output's Unit
12.310734148701 Square Meter --> No Conversion Required
FINAL ANSWER
12.310734148701 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

3 Area of Concave Regular Pentagon Calculators

Area of Concave Regular Pentagon given distance of tips
area = ((((2*Distance 1)/((1+sqrt(5))))^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) Go
Area of Concave Regular Pentagon given perimeter
area = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) Go
Area of Concave Regular Pentagon
area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) Go

Area of Concave Regular Pentagon given perimeter Formula

area = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
A = (((P/5)^2)/4)*((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 = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) to calculate the Area, The Area of Concave Regular Pentagon given perimeter formula is defined as measure of the total area that the surface of the object occupies of a concave regular pentagon, where perimeter = perimeter of concave regular pentagon , A = Area of concave regular pentagon. Area and 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 (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 -> 12.31073 = (((20/5)^2)/4)*((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 measure of the total area that the surface of the object occupies of a concave regular pentagon, where perimeter = perimeter of concave regular pentagon , A = Area of concave regular pentagon and is represented as A = (((P/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) or area = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of Concave Regular Pentagon given perimeter?
The Area of Concave Regular Pentagon given perimeter formula is defined as measure of the total area that the surface of the object occupies of a concave regular pentagon, where perimeter = perimeter of concave regular pentagon , A = Area of concave regular pentagon is calculated using area = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))). To calculate Area of Concave Regular Pentagon given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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?
In this formula, Area uses Perimeter. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
  • area = ((((2*Distance 1)/((1+sqrt(5))))^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
  • area = (((Perimeter/5)^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
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