Area of Quarter Circle given Perimeter Calculator

✖Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.ⓘ Perimeter of Quarter Circle [P]

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✖Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.ⓘ Area of Quarter Circle given Perimeter [A]

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Area of Quarter Circle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Quarter Circle = (pi*Perimeter of Quarter Circle^2)/((pi+4)^2)
A = (pi*P^2)/((pi+4)^2)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Perimeter of Quarter Circle - (Measured in Meter) - Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Quarter Circle: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (pi*P^2)/((pi+4)^2) --> (pi*18^2)/((pi+4)^2)

Evaluating ... ...

A = 19.9574354315227

STEP 3: Convert Result to Output's Unit

19.9574354315227 Square Meter --> No Conversion Required

FINAL ANSWER

19.9574354315227 ≈ 19.95744 Square Meter <-- Area of Quarter Circle

(Calculation completed in 00.004 seconds)

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< Area of Quarter Circle Calculators

Area of Quarter Circle given Perimeter

LaTeX Go Area of Quarter Circle = (pi*Perimeter of Quarter Circle^2)/((pi+4)^2)

Area of Quarter Circle given Diameter of Circle

LaTeX Go Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16

Area of Quarter Circle given Chord Length

LaTeX Go Area of Quarter Circle = (pi*Chord Length of Quarter Circle^2)/8

Area of Quarter Circle given Arc Length

LaTeX Go Area of Quarter Circle = (Arc Length of Quarter Circle^2)/pi

Area of Quarter Circle given Perimeter Formula

LaTeX Go

Area of Quarter Circle = (pi*Perimeter of Quarter Circle^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 of Quarter Circle = (pi*Perimeter of Quarter Circle^2)/((pi+4)^2) to calculate the Area of Quarter Circle, 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 calculated using the perimeter of the Quarter Circle. Area of Quarter Circle 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 of Quarter Circle (P) and hit the calculate button. Here is how the Area of Quarter Circle given Perimeter calculation can be explained with given input values -> 19.95744 = (pi*18^2)/((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 calculated using the perimeter of the Quarter Circle and is represented as A = (pi*P^2)/((pi+4)^2) or Area of Quarter Circle = (pi*Perimeter of Quarter Circle^2)/((pi+4)^2). Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.

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 calculated using the perimeter of the Quarter Circle is calculated using Area of Quarter Circle = (pi*Perimeter of Quarter Circle^2)/((pi+4)^2). To calculate Area of Quarter Circle given Perimeter, you need Perimeter of Quarter Circle (P). With our tool, you need to enter the respective value for Perimeter 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 Area of Quarter Circle?

In this formula, Area of Quarter Circle uses Perimeter of Quarter Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Quarter Circle = (Arc Length of Quarter Circle^2)/pi
Area of Quarter Circle = (pi*Chord Length of Quarter Circle^2)/8
Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16

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