Perimeter of Quarter Circle given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Quarter Circle = (pi+4)*(sqrt(Area of Quarter Circle/pi))
P = (pi+4)*(sqrt(A/pi))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter of Quarter Circle - (Measured in Meter) - Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.
Area of Quarter Circle - (Measured in Square Meter) - Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.
STEP 1: Convert Input(s) to Base Unit
Area of Quarter Circle: 20 Square Meter --> 20 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (pi+4)*(sqrt(A/pi)) --> (pi+4)*(sqrt(20/pi))
Evaluating ... ...
P = 18.0191846832927
STEP 3: Convert Result to Output's Unit
18.0191846832927 Meter --> No Conversion Required
FINAL ANSWER
18.0191846832927 Meter <-- Perimeter of Quarter Circle
(Calculation completed in 00.009 seconds)

Credits

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IIT Madras (IIT Madras), Chennai
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5 Perimeter of Quarter Circle Calculators

Perimeter of Quarter Circle given Area
Perimeter of Quarter Circle = (pi+4)*(sqrt(Area of Quarter Circle/pi)) Go
Perimeter of Quarter Circle given Chord Length
Perimeter of Quarter Circle = ((pi+4)*(Chord Length of Quarter Circle))/sqrt(8) Go
Perimeter of Quarter Circle given Arc Length
Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi Go
Perimeter of Quarter Circle given Diameter of Circle
Perimeter of Quarter Circle = Diameter of Circle of Quarter Circle*((pi/4)+1) Go
Perimeter of Quarter Circle
Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+(pi/4)) Go

Perimeter of Quarter Circle given Area Formula

Perimeter of Quarter Circle = (pi+4)*(sqrt(Area of Quarter Circle/pi))
P = (pi+4)*(sqrt(A/pi))

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 Perimeter of Quarter Circle given Area?

Perimeter of Quarter Circle given Area calculator uses Perimeter of Quarter Circle = (pi+4)*(sqrt(Area of Quarter Circle/pi)) to calculate the Perimeter of Quarter Circle, The Perimeter of Quarter Circle given Area formula is defined as the total length of the boundary of the Quarter Circle and calculated by using area of the Quarter Circle. Perimeter of Quarter Circle is denoted by P symbol.

How to calculate Perimeter of Quarter Circle given Area using this online calculator? To use this online calculator for Perimeter of Quarter Circle given Area, enter Area of Quarter Circle (A) and hit the calculate button. Here is how the Perimeter of Quarter Circle given Area calculation can be explained with given input values -> 18.01918 = (pi+4)*(sqrt(20/pi)).

FAQ

What is Perimeter of Quarter Circle given Area?
The Perimeter of Quarter Circle given Area formula is defined as the total length of the boundary of the Quarter Circle and calculated by using area of the Quarter Circle and is represented as P = (pi+4)*(sqrt(A/pi)) or Perimeter of Quarter Circle = (pi+4)*(sqrt(Area of Quarter Circle/pi)). Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.
How to calculate Perimeter of Quarter Circle given Area?
The Perimeter of Quarter Circle given Area formula is defined as the total length of the boundary of the Quarter Circle and calculated by using area of the Quarter Circle is calculated using Perimeter of Quarter Circle = (pi+4)*(sqrt(Area of Quarter Circle/pi)). To calculate Perimeter of Quarter Circle given Area, you need Area of Quarter Circle (A). With our tool, you need to enter the respective value for Area of Quarter Circle 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 Perimeter of Quarter Circle?
In this formula, Perimeter of Quarter Circle uses Area of Quarter Circle. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi
  • Perimeter of Quarter Circle = ((pi+4)*(Chord Length of Quarter Circle))/sqrt(8)
  • Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+(pi/4))
  • Perimeter of Quarter Circle = Diameter of Circle of Quarter Circle*((pi/4)+1)
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