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IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
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Area of Quarter Circle given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = (pi*(Perimeter^2))/((pi+4)^2)
A = (pi*(P^2))/((pi+4)^2)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (pi*(P^2))/((pi+4)^2) --> (pi*(25^2))/((pi+4)^2)
Evaluating ... ...
A = 38.4981393354991
STEP 3: Convert Result to Output's Unit
38.4981393354991 Square Meter --> No Conversion Required
FINAL ANSWER
38.4981393354991 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

3 Area of Quarter Circle Calculators

Area of Quarter Circle given perimeter
Area = (pi*(Perimeter^2))/((pi+4)^2) Go
Area of Quarter Circle given arc length
Area = (Arc Length^2)/pi Go
Area of Quarter Circle
Area = (pi*Radius^2)/4 Go

Area of Quarter Circle given perimeter Formula

Area = (pi*(Perimeter^2))/((pi+4)^2)
A = (pi*(P^2))/((pi+4)^2)

What is a Quarter Circle?

If we cut a Circle through any two perpendicular diameters, into four equal parts then one such part is actually called a Quarter Circle. The word 'quarter' means the fraction one fourth or 1 out of 4. So the name 'Quarter Circle' is because it possesses one fourth fraction of the complete circle. That is, both area and arc length is one fourth fraction of the original circle.

How to Calculate Area of Quarter Circle given perimeter?

Area of Quarter Circle given perimeter calculator uses Area = (pi*(Perimeter^2))/((pi+4)^2) to calculate the Area, The Area of Quarter Circle given perimeter formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and found by using the perimeter of the Quarter Circle. Area is denoted by A symbol.

How to calculate Area of Quarter Circle given perimeter using this online calculator? To use this online calculator for Area of Quarter Circle given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Area of Quarter Circle given perimeter calculation can be explained with given input values -> 38.49814 = (pi*(25^2))/((pi+4)^2).

FAQ

What is Area of Quarter Circle given perimeter?
The Area of Quarter Circle given perimeter formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and found by using the perimeter of the Quarter Circle and is represented as A = (pi*(P^2))/((pi+4)^2) or Area = (pi*(Perimeter^2))/((pi+4)^2). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of Quarter Circle given perimeter?
The Area of Quarter Circle given perimeter formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and found by using the perimeter of the Quarter Circle is calculated using Area = (pi*(Perimeter^2))/((pi+4)^2). To calculate Area of Quarter Circle given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area = (pi*Radius^2)/4
  • Area = (Arc Length^2)/pi
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