Area of Concave Regular Pentagon given Distance of Tips Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
A = (dTips/(1+sqrt(5)))^2*(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.
Distance of Tips of Concave Regular Pentagon - (Measured in Meter) - The Distance of Tips of Concave Regular Pentagon is the length of the line joining the two upper tips of the Concave Regular Pentagon.
STEP 1: Convert Input(s) to Base Unit
Distance of Tips of Concave Regular Pentagon: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (dTips/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))) --> (8/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
Evaluating ... ...
A = 18.8091280733591
STEP 3: Convert Result to Output's Unit
18.8091280733591 Square Meter --> No Conversion Required
FINAL ANSWER
18.8091280733591 18.80913 Square Meter <-- Area 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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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 Distance of Tips Formula

​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)))
A = (dTips/(1+sqrt(5)))^2*(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 Distance of Tips?

Area of Concave Regular Pentagon given Distance of Tips calculator uses 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))) to calculate the Area of Concave Regular Pentagon, Area of Concave Regular Pentagon given Distance of Tips formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon and calculated using the distance between the tips of it. Area of Concave Regular Pentagon is denoted by A symbol.

How to calculate Area of Concave Regular Pentagon given Distance of Tips using this online calculator? To use this online calculator for Area of Concave Regular Pentagon given Distance of Tips, enter Distance of Tips of Concave Regular Pentagon (dTips) and hit the calculate button. Here is how the Area of Concave Regular Pentagon given Distance of Tips calculation can be explained with given input values -> 18.80913 = (8/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))).

FAQ

What is Area of Concave Regular Pentagon given Distance of Tips?
Area of Concave Regular Pentagon given Distance of Tips formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon and calculated using the distance between the tips of it and is represented as A = (dTips/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))) or 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))). The Distance of Tips of Concave Regular Pentagon is the length of the line joining the two upper tips of the Concave Regular Pentagon.
How to calculate Area of Concave Regular Pentagon given Distance of Tips?
Area of Concave Regular Pentagon given Distance of Tips formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon and calculated using the distance between the tips of it is calculated using 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))). To calculate Area of Concave Regular Pentagon given Distance of Tips, you need Distance of Tips of Concave Regular Pentagon (dTips). With our tool, you need to enter the respective value for Distance of Tips 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 Distance of Tips 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 = Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
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