Perimeter of Round Corner given Area of Missing Piece Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))
P = (((1/2)*pi)+2)*(sqrt(AMissing Piece/((1-((1/4)*pi)))))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Perimeter of Round Corner - (Measured in Meter) - The perimeter of Round Corner is the total distance around the edge of the Round Corner.
Area of Missing Piece of Round Corner - (Measured in Square Meter) - Area of Missing Piece of Round Corner can be defined as the space occupied by a missing piece of shape or object.
STEP 1: Convert Input(s) to Base Unit
Area of Missing Piece of Round Corner: 20 Square Meter --> 20 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (((1/2)*pi)+2)*(sqrt(AMissing Piece/((1-((1/4)*pi))))) --> (((1/2)*pi)+2)*(sqrt(20/((1-((1/4)*pi)))))
Evaluating ... ...
P = 34.4717522640257
STEP 3: Convert Result to Output's Unit
34.4717522640257 Meter --> No Conversion Required
FINAL ANSWER
34.4717522640257 34.47175 Meter <-- Perimeter of Round Corner
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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4 Perimeter of Round Corner Calculators

Perimeter of Round Corner given Area of Missing Piece
Go Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))
Perimeter of Round Corner given Area
Go Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Round Corner/((1/4)*pi)))
Perimeter of Round Corner given Arc Length
Go Perimeter of Round Corner = (((1/2)*pi)+2)*(Arc Length of Round Corner/((1/2)*pi))
Perimeter of Round Corner
Go Perimeter of Round Corner = (((1/2)*pi)+2)*Radius of Round Corner

Perimeter of Round Corner given Area of Missing Piece Formula

Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))
P = (((1/2)*pi)+2)*(sqrt(AMissing Piece/((1-((1/4)*pi)))))

What is a Round Corner?

A Round Corner, or rather 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 Perimeter of Round Corner given Area of Missing Piece?

Perimeter of Round Corner given Area of Missing Piece calculator uses Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))) to calculate the Perimeter of Round Corner, The Perimeter of Round Corner given Area of Missing Piece formula is defined as the sum of all the lengths of the outermost parts of the Round Corner, calculated using the area of its missing piece. Perimeter of Round Corner is denoted by P symbol.

How to calculate Perimeter of Round Corner given Area of Missing Piece using this online calculator? To use this online calculator for Perimeter of Round Corner given Area of Missing Piece, enter Area of Missing Piece of Round Corner (AMissing Piece) and hit the calculate button. Here is how the Perimeter of Round Corner given Area of Missing Piece calculation can be explained with given input values -> 34.47175 = (((1/2)*pi)+2)*(sqrt(20/((1-((1/4)*pi))))).

FAQ

What is Perimeter of Round Corner given Area of Missing Piece?
The Perimeter of Round Corner given Area of Missing Piece formula is defined as the sum of all the lengths of the outermost parts of the Round Corner, calculated using the area of its missing piece and is represented as P = (((1/2)*pi)+2)*(sqrt(AMissing Piece/((1-((1/4)*pi))))) or Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))). Area of Missing Piece of Round Corner can be defined as the space occupied by a missing piece of shape or object.
How to calculate Perimeter of Round Corner given Area of Missing Piece?
The Perimeter of Round Corner given Area of Missing Piece formula is defined as the sum of all the lengths of the outermost parts of the Round Corner, calculated using the area of its missing piece is calculated using Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))). To calculate Perimeter of Round Corner given Area of Missing Piece, you need Area of Missing Piece of Round Corner (AMissing Piece). With our tool, you need to enter the respective value for Area of Missing Piece of Round Corner 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 Perimeter of Round Corner?
In this formula, Perimeter of Round Corner uses Area of Missing Piece of Round Corner. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Round Corner = (((1/2)*pi)+2)*Radius of Round Corner
  • Perimeter of Round Corner = (((1/2)*pi)+2)*(Arc Length of Round Corner/((1/2)*pi))
  • Perimeter of Round Corner = (((1/2)*pi)+2)*(sqrt(Area of Round Corner/((1/4)*pi)))
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