Area of Circular Quadrant Calculator

✖Radius of Circular Quadrant is the length of any line segment joining the center and any point on the circle from which Circular Quadrant is cut.ⓘ Radius of Circular Quadrant [r]

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✖Area of Circular Quadrant is the area of the portion of a circle that is enclosed between its two radii placed at angle of 90° and the arc adjoining them.ⓘ Area of Circular Quadrant [A]

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Formula

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Area of Circular Quadrant

Formula

`"A" = (pi*"r"^2)/4`

Example

`"19.63495m²"=(pi*("5m")^2)/4`

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Download Circular Arc and Circular Quadrant Formulas PDF

Area of Circular Quadrant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Circular Quadrant = (pi*Radius of Circular Quadrant^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 Circular Quadrant - (Measured in Square Meter) - Area of Circular Quadrant is the area of the portion of a circle that is enclosed between its two radii placed at angle of 90° and the arc adjoining them.
Radius of Circular Quadrant - (Measured in Meter) - Radius of Circular Quadrant is the length of any line segment joining the center and any point on the circle from which Circular Quadrant is cut.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Quadrant: 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 Circular Quadrant

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 4 Circular Quadrant Calculators

Perimeter of Circular Quadrant

Go Perimeter of Circular Quadrant = (pi/2+2)*Radius of Circular Quadrant

Area of Circular Quadrant

Go Area of Circular Quadrant = (pi*Radius of Circular Quadrant^2)/4

Area of Circular Quadrant given Area of Circle

Go Area of Circular Quadrant = Area of Circle of Circular Quadrant/4

Area of Circle given Area of Quadrant

Go Area of Circle of Circular Quadrant = 4*Area of Circular Quadrant

Area of Circular Quadrant Formula

Area of Circular Quadrant = (pi*Radius of Circular Quadrant^2)/4
A = (pi*r^2)/4

What is Circular Quadrant?

Circular Quadrant is basically the one fourth of a complete circle. Geometrically a Circular Quadrant is the region enclosed by a portion of circumference of a circle and two radii from both ends which are at right angle.

What is Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Area of Circular Quadrant?

Area of Circular Quadrant calculator uses Area of Circular Quadrant = (pi*Radius of Circular Quadrant^2)/4 to calculate the Area of Circular Quadrant, Area of Circular Quadrant is the two-dimensional space occupied by one-fourth of a Circle. Area of Circular Quadrant is denoted by A symbol.

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

FAQ

What is Area of Circular Quadrant?

Area of Circular Quadrant is the two-dimensional space occupied by one-fourth of a Circle and is represented as A = (pi*r^2)/4 or Area of Circular Quadrant = (pi*Radius of Circular Quadrant^2)/4. Radius of Circular Quadrant is the length of any line segment joining the center and any point on the circle from which Circular Quadrant is cut.

How to calculate Area of Circular Quadrant?

Area of Circular Quadrant is the two-dimensional space occupied by one-fourth of a Circle is calculated using Area of Circular Quadrant = (pi*Radius of Circular Quadrant^2)/4. To calculate Area of Circular Quadrant, you need Radius of Circular Quadrant (r). With our tool, you need to enter the respective value for Radius of Circular Quadrant 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 Circular Quadrant?

In this formula, Area of Circular Quadrant uses Radius of Circular Quadrant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area of Circular Quadrant = Area of Circle of Circular Quadrant/4

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