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Area of missing piece of Round Corner given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2)
Amissing = (1-((1/4)*pi))*((P/(((1/2)*pi)+2))^2)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Amissing = (1-((1/4)*pi))*((P/(((1/2)*pi)+2))^2) --> (1-((1/4)*pi))*((20/(((1/2)*pi)+2))^2)
Evaluating ... ...
Amissing = 6.73229700171689
STEP 3: Convert Result to Output's Unit
6.73229700171689 Square Meter --> No Conversion Required
FINAL ANSWER
6.73229700171689 Square Meter <-- Area Missing
(Calculation completed in 00.000 seconds)

4 Area of missing piece of Round Corner Calculators

Area of missing piece of Round Corner given area
area_missing = (1-((1/4)*pi))*((sqrt(Area/((1/4)*pi)))^2) Go
Area of missing piece of Round Corner given perimeter
area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2) Go
Area of missing piece of Round Corner given arc length
area_missing = (1-((1/4)*pi))*((Arc Length/((1/2)*pi))^2) Go
Area of missing piece of Round Corner
area_missing = (1-((1/4)*pi))*(Radius^2) Go

Area of missing piece of Round Corner given perimeter Formula

area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2)
Amissing = (1-((1/4)*pi))*((P/(((1/2)*pi)+2))^2)

What is a round corner?

A round corner, or rather in a quarter circle is the most simple form of a round corner. This is the intersecting set of a square with edge length a and a circle with radius a, where one corner of the square is at the center of the circle. The missing piece, the part of the square outside the quarter circle, is also called spandrel.

How to Calculate Area of missing piece of Round Corner given perimeter?

Area of missing piece of Round Corner given perimeter calculator uses area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2) to calculate the Area Missing, The Area of missing piece of round corner given perimeter formula is defined as measure of the total area that the surface of the object occupies of a round corner , where area = area of round corner. Area Missing and is denoted by Amissing symbol.

How to calculate Area of missing piece of Round Corner given perimeter using this online calculator? To use this online calculator for Area of missing piece of Round Corner given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Area of missing piece of Round Corner given perimeter calculation can be explained with given input values -> 6.732297 = (1-((1/4)*pi))*((20/(((1/2)*pi)+2))^2).

FAQ

What is Area of missing piece of Round Corner given perimeter?
The Area of missing piece of round corner given perimeter formula is defined as measure of the total area that the surface of the object occupies of a round corner , where area = area of round corner and is represented as Amissing = (1-((1/4)*pi))*((P/(((1/2)*pi)+2))^2) or area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of missing piece of Round Corner given perimeter?
The Area of missing piece of round corner given perimeter formula is defined as measure of the total area that the surface of the object occupies of a round corner , where area = area of round corner is calculated using area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2). To calculate Area of missing piece of Round Corner 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 Missing?
In this formula, Area Missing uses Perimeter. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • area_missing = (1-((1/4)*pi))*(Radius^2)
  • area_missing = (1-((1/4)*pi))*((Arc Length/((1/2)*pi))^2)
  • area_missing = (1-((1/4)*pi))*((Perimeter/(((1/2)*pi)+2))^2)
  • area_missing = (1-((1/4)*pi))*((sqrt(Area/((1/4)*pi)))^2)
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