Arc Length of Round Corner given Area of Missing Piece Calculator

✖Area of Missing Piece of Round Corner can be defined as the space occupied by a missing piece of shape or object.ⓘ Area of Missing Piece of Round Corner [A_{Missing Piece}]

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✖Arc Length of Round Corner is the distance between two points along a section of a curve.ⓘ Arc Length of Round Corner given Area of Missing Piece [l_Arc]

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Arc Length of Round Corner given Area of Missing Piece Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Round Corner = (1/2)*pi*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))
l_Arc = (1/2)*pi*(sqrt(A_{Missing 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

Arc Length of Round Corner - (Measured in Meter) - Arc Length of Round Corner is the distance between two points along a section 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

l_Arc = (1/2)*pi*(sqrt(A_{Missing Piece}/((1-((1/4)*pi))))) --> (1/2)*pi*(sqrt(20/((1-((1/4)*pi)))))

Evaluating ... ...

l_Arc = 15.1641530008848

STEP 3: Convert Result to Output's Unit

15.1641530008848 Meter --> No Conversion Required

FINAL ANSWER

15.1641530008848 ≈ 15.16415 Meter <-- Arc Length of Round Corner

(Calculation completed in 00.021 seconds)

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< Arc Length of Round Corner Calculators

Arc Length of Round Corner given Area of Missing Piece

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

Arc Length of Round Corner given Area

LaTeX Go Arc Length of Round Corner = (1/2)*pi*(sqrt(Area of Round Corner/((1/4)*pi)))

Arc Length of Round Corner given Perimeter

LaTeX Go Arc Length of Round Corner = (1/2)*pi*(Perimeter of Round Corner/(((1/2)*pi)+2))

Arc Length of Round Corner

LaTeX Go Arc Length of Round Corner = (1/2)*pi*Radius of Round Corner

Arc Length of Round Corner given Area of Missing Piece Formula

LaTeX Go

Arc Length of Round Corner = (1/2)*pi*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))
l_Arc = (1/2)*pi*(sqrt(A_{Missing 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 Arc Length of Round Corner given Area of Missing Piece?

Arc Length of Round Corner given Area of Missing Piece calculator uses Arc Length of Round Corner = (1/2)*pi*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))) to calculate the Arc Length of Round Corner, The Arc Length of Round Corner given Area of Missing Piece formula is defined as the distance between two points along a section of a curve of Round Corner, calculated using area of its missing piece. Arc Length of Round Corner is denoted by l_Arc symbol.

How to calculate Arc Length of Round Corner given Area of Missing Piece using this online calculator? To use this online calculator for Arc Length of Round Corner given Area of Missing Piece, enter Area of Missing Piece of Round Corner (A_{Missing Piece}) and hit the calculate button. Here is how the Arc Length of Round Corner given Area of Missing Piece calculation can be explained with given input values -> 15.16415 = (1/2)*pi*(sqrt(20/((1-((1/4)*pi))))).

FAQ

What is Arc Length of Round Corner given Area of Missing Piece?

The Arc Length of Round Corner given Area of Missing Piece formula is defined as the distance between two points along a section of a curve of Round Corner, calculated using area of its missing piece and is represented as l_Arc = (1/2)*pi*(sqrt(A_{Missing Piece}/((1-((1/4)*pi))))) or Arc Length of Round Corner = (1/2)*pi*(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 Arc Length of Round Corner given Area of Missing Piece?

The Arc Length of Round Corner given Area of Missing Piece formula is defined as the distance between two points along a section of a curve of Round Corner, calculated using area of its missing piece is calculated using Arc Length of Round Corner = (1/2)*pi*(sqrt(Area of Missing Piece of Round Corner/((1-((1/4)*pi))))). To calculate Arc Length of Round Corner given Area of Missing Piece, you need Area of Missing Piece of Round Corner (A_{Missing 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 Arc Length of Round Corner?

In this formula, Arc Length 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 -

Arc Length of Round Corner = (1/2)*pi*Radius of Round Corner
Arc Length of Round Corner = (1/2)*pi*(Perimeter of Round Corner/(((1/2)*pi)+2))
Arc Length of Round Corner = (1/2)*pi*(sqrt(Area of Round Corner/((1/4)*pi)))

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