Area of Quarter Circle given Radius Calculator

✖Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.ⓘ Radius of Quarter Circle [r]

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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 Radius [A]

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Area of Quarter Circle given Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4
A = (pi*r^2)/4
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.
Radius of Quarter Circle - (Measured in Meter) - Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Radius of Quarter Circle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (pi*r^2)/4 --> (pi*5^2)/4

Evaluating ... ...

A = 19.6349540849362

STEP 3: Convert Result to Output's Unit

19.6349540849362 Square Meter --> No Conversion Required

FINAL ANSWER

19.6349540849362 ≈ 19.63495 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 Radius Formula

LaTeX Go

Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4
A = (pi*r^2)/4

What is area of a quarter circle when radius is given?

A quarter-circle is one-fourth of a circle. If you take a whole circle and slice it into four pieces, then one of those slices makes a quarter circle. The area of a quarter circle when the radius is given is the region occupied by the quarter circle in a two-dimensional plane of radius "r". To find the area of the quarter circle, take the area of the whole circle and then divide by 4.

How to Calculate Area of Quarter Circle given Radius?

Area of Quarter Circle given Radius calculator uses Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4 to calculate the Area of Quarter Circle, Area of Quarter Circle given Radius is defined as the total quantity of plane occupied by the boundary of the Quarter Circle. Area of Quarter Circle is denoted by A symbol.

How to calculate Area of Quarter Circle given Radius using this online calculator? To use this online calculator for Area of Quarter Circle given Radius, enter Radius of Quarter Circle (r) and hit the calculate button. Here is how the Area of Quarter Circle given Radius calculation can be explained with given input values -> 19.63495 = (pi*5^2)/4.

FAQ

What is Area of Quarter Circle given Radius?

Area of Quarter Circle given Radius is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and is represented as A = (pi*r^2)/4 or Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4. Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

How to calculate Area of Quarter Circle given Radius?

Area of Quarter Circle given Radius is defined as the total quantity of plane occupied by the boundary of the Quarter Circle is calculated using Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4. To calculate Area of Quarter Circle given Radius, you need Radius of Quarter Circle (r). With our tool, you need to enter the respective value for Radius 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 Radius 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*Perimeter of Quarter Circle^2)/((pi+4)^2)
Area of Quarter Circle = (pi*Chord Length of Quarter Circle^2)/8

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