Area of Quarter Circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = (pi*Radius^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 - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
STEP 1: Convert Input(s) to Base Unit
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (pi*r^2)/4 --> (pi*10^2)/4
Evaluating ... ...
A = 78.5398163397448
STEP 3: Convert Result to Output's Unit
78.5398163397448 Square Meter --> No Conversion Required
FINAL ANSWER
78.5398163397448 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

Credits

Created by Jaseem K
IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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3 Area of Quarter Circle Calculators

Area of Quarter Circle given perimeter
Area = (pi*(Perimeter^2))/((pi+4)^2) Go
Area of Quarter Circle given arc length
Area = (Arc Length^2)/pi Go
Area of Quarter Circle
Area = (pi*Radius^2)/4 Go

Area of Quarter Circle Formula

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

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?

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

How to calculate Area of Quarter Circle using this online calculator? To use this online calculator for Area of Quarter Circle, enter Radius (r) and hit the calculate button. Here is how the Area of Quarter Circle calculation can be explained with given input values -> 78.53982 = (pi*10^2)/4.

FAQ

What is Area of Quarter Circle?
Area of Quarter Circle formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and found by using the radius and is represented as A = (pi*r^2)/4 or Area = (pi*Radius^2)/4. Radius is a radial line from the focus to any point of a curve.
How to calculate Area of Quarter Circle?
Area of Quarter Circle formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and found by using the radius is calculated using Area = (pi*Radius^2)/4. To calculate Area of Quarter Circle, you need Radius (r). With our tool, you need to enter the respective value for Radius 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?
In this formula, Area uses Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area = (Arc Length^2)/pi
  • Area = (pi*(Perimeter^2))/((pi+4)^2)
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