Percentage Change in Area of Square given Percentage Change in Side Calculator

✖Percentage Change in Side of Square is the increase or decrease in the length of a side of the square compared to its original length, expressed as a percentage.ⓘ Percentage Change in Side of Square [S_%Change]

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✖Percentage Change in Area of Square is the increase or decrease in the area of the square compared to its original area, expressed as a percentage.ⓘ Percentage Change in Area of Square given Percentage Change in Side [A_{(Square)%Change}]

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Formula

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Percentage Change in Area of Square given Percentage Change in Side

Formula

`"A"_{"(Square)%Change"} = ((1+"S"_{"%Change"}/100)^2-1)*100`

Example

`"96"=((1+"40"/100)^2-1)*100`

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Percentage Change in Area of Square given Percentage Change in Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percentage Change in Area of Square = ((1+Percentage Change in Side of Square/100)^2-1)*100
A_{(Square)%Change} = ((1+S_%Change/100)^2-1)*100
This formula uses 2 Variables

Variables Used

Percentage Change in Area of Square - Percentage Change in Area of Square is the increase or decrease in the area of the square compared to its original area, expressed as a percentage.
Percentage Change in Side of Square - Percentage Change in Side of Square is the increase or decrease in the length of a side of the square compared to its original length, expressed as a percentage.

STEP 1: Convert Input(s) to Base Unit

Percentage Change in Side of Square: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_{(Square)%Change} = ((1+S_%Change/100)^2-1)*100 --> ((1+40/100)^2-1)*100

Evaluating ... ...

A_{(Square)%Change} = 96

STEP 3: Convert Result to Output's Unit

96 --> No Conversion Required

FINAL ANSWER

96 <-- Percentage Change in Area of Square

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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The National Institute of Engineering (NIE), Mysuru

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< 2 Percentage Change in Square Calculators

Percentage Change in Side of Square given Percentage Change in Area

Go Percentage Change in Side of Square = (sqrt(Percentage Change in Area of Square/100+1)-1)*100

Percentage Change in Area of Square given Percentage Change in Side

Go Percentage Change in Area of Square = ((1+Percentage Change in Side of Square/100)^2-1)*100

Percentage Change in Area of Square given Percentage Change in Side Formula

Percentage Change in Area of Square = ((1+Percentage Change in Side of Square/100)^2-1)*100
A_{(Square)%Change} = ((1+S_%Change/100)^2-1)*100

What is Percentage and its properties?

The Percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent symbol (%). For example, 25% means 25/100 or 1/4, and 50% means 50/100 or 1/2. Properties include: 1) Percentage increase/decrease: When a number increases by a certain percentage, it is said to have increased by that percentage. For example, if a price increases from $10 to $15, it has increased by 50%. 2) Percentage of a number: To find the percentage of a number, you can multiply the number by the percentage. For example, to find 50% of 100, you can multiply 100 by 50/100 to get 50. 3) Percentages greater than 100%: If a number increases by more than 100%, it is said to have increased by more than 100%. For example, if a price increases from $10 to $30, it has increased by 200%. Conversely, if a number decreases by more than 100%, it is said to have decreased by more than 100%.

How to Calculate Percentage Change in Area of Square given Percentage Change in Side?

Percentage Change in Area of Square given Percentage Change in Side calculator uses Percentage Change in Area of Square = ((1+Percentage Change in Side of Square/100)^2-1)*100 to calculate the Percentage Change in Area of Square, The Percentage Change in Area of Square given Percentage Change in Side formula is defined as the increase or decrease in the area of the square compared to its original area, expressed as a percentage, and calculated using the percentage change in the side of the square. Percentage Change in Area of Square is denoted by A_{(Square)%Change} symbol.

How to calculate Percentage Change in Area of Square given Percentage Change in Side using this online calculator? To use this online calculator for Percentage Change in Area of Square given Percentage Change in Side, enter Percentage Change in Side of Square (S_%Change) and hit the calculate button. Here is how the Percentage Change in Area of Square given Percentage Change in Side calculation can be explained with given input values -> 44 = ((1+40/100)^2-1)*100.

FAQ

What is Percentage Change in Area of Square given Percentage Change in Side?

The Percentage Change in Area of Square given Percentage Change in Side formula is defined as the increase or decrease in the area of the square compared to its original area, expressed as a percentage, and calculated using the percentage change in the side of the square and is represented as A_{(Square)%Change} = ((1+S_%Change/100)^2-1)*100 or Percentage Change in Area of Square = ((1+Percentage Change in Side of Square/100)^2-1)*100. Percentage Change in Side of Square is the increase or decrease in the length of a side of the square compared to its original length, expressed as a percentage.

How to calculate Percentage Change in Area of Square given Percentage Change in Side?

The Percentage Change in Area of Square given Percentage Change in Side formula is defined as the increase or decrease in the area of the square compared to its original area, expressed as a percentage, and calculated using the percentage change in the side of the square is calculated using Percentage Change in Area of Square = ((1+Percentage Change in Side of Square/100)^2-1)*100. To calculate Percentage Change in Area of Square given Percentage Change in Side, you need Percentage Change in Side of Square (S_%Change). With our tool, you need to enter the respective value for Percentage Change in Side of Square and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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