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Area of Round Corner given area of missing piece Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (1/4)*pi*((sqrt(Area Missing/((1-((1/4)*pi)))))^2)
A = (1/4)*pi*((sqrt(Amissing/((1-((1/4)*pi)))))^2)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area Missing - Area Missing can be defined as the space occupied by missing piece of shape or object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area Missing: 20 Square Meter --> 20 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (1/4)*pi*((sqrt(Amissing/((1-((1/4)*pi)))))^2) --> (1/4)*pi*((sqrt(20/((1-((1/4)*pi)))))^2)
Evaluating ... ...
A = 73.1958473265097
STEP 3: Convert Result to Output's Unit
73.1958473265097 Square Meter --> No Conversion Required
FINAL ANSWER
73.1958473265097 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

4 Area of Round Corner Calculators

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

Area of Round Corner given area of missing piece Formula

area = (1/4)*pi*((sqrt(Area Missing/((1-((1/4)*pi)))))^2)
A = (1/4)*pi*((sqrt(Amissing/((1-((1/4)*pi)))))^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 Round Corner given area of missing piece?

Area of Round Corner given area of missing piece calculator uses area = (1/4)*pi*((sqrt(Area Missing/((1-((1/4)*pi)))))^2) to calculate the Area, The Area of Round Corner given area of missing piece 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 and is denoted by A symbol.

How to calculate Area of Round Corner given area of missing piece using this online calculator? To use this online calculator for Area of Round Corner given area of missing piece, enter Area Missing (Amissing) and hit the calculate button. Here is how the Area of Round Corner given area of missing piece calculation can be explained with given input values -> 73.19585 = (1/4)*pi*((sqrt(20/((1-((1/4)*pi)))))^2).

FAQ

What is Area of Round Corner given area of missing piece?
The Area of Round Corner given area of missing piece 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 A = (1/4)*pi*((sqrt(Amissing/((1-((1/4)*pi)))))^2) or area = (1/4)*pi*((sqrt(Area Missing/((1-((1/4)*pi)))))^2). Area Missing can be defined as the space occupied by missing piece of shape or object.
How to calculate Area of Round Corner given area of missing piece?
The Area of Round Corner given area of missing piece 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 = (1/4)*pi*((sqrt(Area Missing/((1-((1/4)*pi)))))^2). To calculate Area of Round Corner given area of missing piece, you need Area Missing (Amissing). With our tool, you need to enter the respective value for Area Missing 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?
In this formula, Area uses Area Missing. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • area = (1/4)*pi*(Radius^2)
  • area = (1/4)*pi*((Arc Length/((1/2)*pi))^2)
  • area = (1/4)*pi*((Perimeter/(((1/2)*pi)+2))^2)
  • area = (1/4)*pi*((sqrt(Area Missing/((1-((1/4)*pi)))))^2)
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