Radius of Round Corner given Area of Missing Piece Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Round Corner = sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))
r = 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
Radius of Round Corner - (Measured in Meter) - Radius of Round Corner is a radial line from the focus to any point of a curve.
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
r = sqrt(AMissing Piece/((1-((1/4)*pi)))) --> sqrt(20/((1-((1/4)*pi))))
Evaluating ... ...
r = 9.65379963157045
STEP 3: Convert Result to Output's Unit
9.65379963157045 Meter --> No Conversion Required
FINAL ANSWER
9.65379963157045 9.6538 Meter <-- Radius of Round Corner
(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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Radius of Round Corner Calculators

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

Radius of Round Corner given Area of Missing Piece Formula

​LaTeX ​Go
Radius of Round Corner = sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))
r = 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 Radius of Round Corner given Area of Missing Piece?

Radius of Round Corner given Area of Missing Piece calculator uses Radius of Round Corner = sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))) to calculate the Radius of Round Corner, The Radius of Round Corner given Area of Missing Piece formula is defined as the straight line from the center to the circumference of Round Corner, calculated using the area of its missing piece. Radius of Round Corner is denoted by r symbol.

How to calculate Radius of Round Corner given Area of Missing Piece using this online calculator? To use this online calculator for Radius 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 Radius of Round Corner given Area of Missing Piece calculation can be explained with given input values -> 9.6538 = sqrt(20/((1-((1/4)*pi)))).

FAQ

What is Radius of Round Corner given Area of Missing Piece?
The Radius of Round Corner given Area of Missing Piece formula is defined as the straight line from the center to the circumference of Round Corner, calculated using the area of its missing piece and is represented as r = sqrt(AMissing Piece/((1-((1/4)*pi)))) or Radius of Round Corner = 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 Radius of Round Corner given Area of Missing Piece?
The Radius of Round Corner given Area of Missing Piece formula is defined as the straight line from the center to the circumference of Round Corner, calculated using the area of its missing piece is calculated using Radius of Round Corner = sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))). To calculate Radius 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 Radius of Round Corner?
In this formula, Radius 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 -
  • Radius of Round Corner = Arc Length of Round Corner/((1/2)*pi)
  • Radius of Round Corner = Perimeter of Round Corner/(((1/2)*pi)+2)
  • Radius of Round Corner = sqrt(Area of Round Corner/((1/4)*pi))
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