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Area of Concave Regular Pentagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
A = ((S^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
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((S^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) --> ((9^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
Evaluating ... ...
A = 62.3230916277989
STEP 3: Convert Result to Output's Unit
62.3230916277989 Square Meter --> No Conversion Required
FINAL ANSWER
62.3230916277989 Square Meter <-- Area
(Calculation completed in 00.016 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 Formula

area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5))))
A = ((S^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?

Area of Concave Regular Pentagon calculator uses area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) to calculate the Area, The Area of Concave Regular Pentagon formula is defined as measure of the total area that the surface of the object occupies of a concave regular pentagon, where a = concave regular pentagon edge, A = Area of concave regular pentagon. Area and is denoted by A symbol.

How to calculate Area of Concave Regular Pentagon using this online calculator? To use this online calculator for Area of Concave Regular Pentagon, enter Side (S) and hit the calculate button. Here is how the Area of Concave Regular Pentagon calculation can be explained with given input values -> 62.32309 = ((9^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))).

FAQ

What is Area of Concave Regular Pentagon?
The Area of Concave Regular Pentagon formula is defined as measure of the total area that the surface of the object occupies of a concave regular pentagon, where a = concave regular pentagon edge, A = Area of concave regular pentagon and is represented as A = ((S^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))) or area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Area of Concave Regular Pentagon?
The Area of Concave Regular Pentagon formula is defined as measure of the total area that the surface of the object occupies of a concave regular pentagon, where a = concave regular pentagon edge, A = Area of concave regular pentagon is calculated using area = ((Side^2)/4)*((sqrt(25+10*sqrt(5)))-(sqrt(10+2*sqrt(5)))). To calculate Area of Concave Regular Pentagon, you need Side (S). With our tool, you need to enter the respective value for Side 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 Side. 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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