Area of Quarter Circle given Diameter of Circle Calculator

✖Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.ⓘ Diameter of Circle of Quarter Circle [D_Circle]

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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 Diameter of Circle [A]

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Formula

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Area of Quarter Circle given Diameter of Circle

Formula

`"A" = (pi*"D"_{"Circle"}^2)/16`

Example

`"19.63495m²"=(pi*("10m")^2)/16`

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Area of Quarter Circle given Diameter of Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16
A = (pi*D_Circle^2)/16
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.
Diameter of Circle of Quarter Circle - (Measured in Meter) - Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circle of Quarter Circle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (pi*D_Circle^2)/16 --> (pi*10^2)/16

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 00.020 seconds)

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Bhilai Institute of Technology (BIT), Raipur

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< 5 Area of Quarter Circle Calculators

Area of Quarter Circle given Perimeter

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

Area of Quarter Circle given Diameter of Circle

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

Area of Quarter Circle given Chord Length

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

Area of Quarter Circle given Arc Length

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

Area of Quarter Circle given Radius

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

Area of Quarter Circle given Diameter of Circle Formula

Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16
A = (pi*D_Circle^2)/16

What is Area of a quarter circle when diameter 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 diameter "d". 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 Diameter of Circle?

Area of Quarter Circle given Diameter of Circle calculator uses Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16 to calculate the Area of Quarter Circle, Area of Quarter Circle given Diameter of Circle is defined as the total quantity of plane occupied by the boundary of the Quarter Circle, calculated using diameter of the circle of the Quarter Circle. Area of Quarter Circle is denoted by A symbol.

How to calculate Area of Quarter Circle given Diameter of Circle using this online calculator? To use this online calculator for Area of Quarter Circle given Diameter of Circle, enter Diameter of Circle of Quarter Circle (D_Circle) and hit the calculate button. Here is how the Area of Quarter Circle given Diameter of Circle calculation can be explained with given input values -> 19.63495 = (pi*10^2)/16.

FAQ

What is Area of Quarter Circle given Diameter of Circle?

Area of Quarter Circle given Diameter of Circle is defined as the total quantity of plane occupied by the boundary of the Quarter Circle, calculated using diameter of the circle of the Quarter Circle and is represented as A = (pi*D_Circle^2)/16 or Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16. Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.

How to calculate Area of Quarter Circle given Diameter of Circle?

Area of Quarter Circle given Diameter of Circle is defined as the total quantity of plane occupied by the boundary of the Quarter Circle, calculated using diameter of the circle of the Quarter Circle is calculated using Area of Quarter Circle = (pi*Diameter of Circle of Quarter Circle^2)/16. To calculate Area of Quarter Circle given Diameter of Circle, you need Diameter of Circle of Quarter Circle (D_Circle). With our tool, you need to enter the respective value for Diameter of Circle 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 Diameter of Circle of Quarter Circle. We can use 4 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
Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4

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