Area of Quarter Circle given chord length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Quarter Circle = pi*((Chord length of Quarter Circle)^2)/8
A = pi*((lChord)^2)/8
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.
Chord length of Quarter Circle - (Measured in Meter) - Chord length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.
STEP 1: Convert Input(s) to Base Unit
Chord length of Quarter Circle: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = pi*((lChord)^2)/8 --> pi*((7)^2)/8
Evaluating ... ...
A = 19.2422550032375
STEP 3: Convert Result to Output's Unit
19.2422550032375 Square Meter --> No Conversion Required
FINAL ANSWER
19.2422550032375 Square Meter <-- Area of Quarter Circle
(Calculation completed in 00.016 seconds)

Credits

Created by Shivakshi Bhardwaj
Cluster Innovation Centre (CIC), Delhi, 110007
Shivakshi Bhardwaj has created this Calculator and 0 more calculators!
Verified by Jaseem K
IIT Madras (IIT Madras), Chennai
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4 Area of Quarter Circle Calculators

Area of Quarter Circle given perimeter
Area of Quarter Circle = (pi*(Perimeter of Quarter Circle^2))/((pi+4)^2) Go
Area of Quarter Circle given chord length
Area of Quarter Circle = pi*((Chord length of Quarter Circle)^2)/8 Go
Area of Quarter Circle given arc length
Area of Quarter Circle = (Arc length of Quarter Circle^2)/pi Go
Area of Quarter Circle
Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4 Go

Area of Quarter Circle given chord length Formula

Area of Quarter Circle = pi*((Chord length of Quarter Circle)^2)/8
A = pi*((lChord)^2)/8

What is a Quarter Circle?

The Chord length of Quarter Circle given area formula is defined as the length of the line joining two radii of the given Quarter Circle and find by using the area of the quarter circle.

How to Calculate Area of Quarter Circle given chord length?

Area of Quarter Circle given chord length calculator uses Area of Quarter Circle = pi*((Chord length of Quarter Circle)^2)/8 to calculate the Area of Quarter Circle, The Area of Quarter Circle given chord length formula 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 chord length using this online calculator? To use this online calculator for Area of Quarter Circle given chord length, enter Chord length of Quarter Circle (lChord) and hit the calculate button. Here is how the Area of Quarter Circle given chord length calculation can be explained with given input values -> 19.24226 = pi*((7)^2)/8.

FAQ

What is Area of Quarter Circle given chord length?
The Area of Quarter Circle given chord length formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and is represented as A = pi*((lChord)^2)/8 or Area of Quarter Circle = pi*((Chord length of Quarter Circle)^2)/8. Chord length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.
How to calculate Area of Quarter Circle given chord length?
The Area of Quarter Circle given chord length formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle is calculated using Area of Quarter Circle = pi*((Chord length of Quarter Circle)^2)/8. To calculate Area of Quarter Circle given chord length, you need Chord length of Quarter Circle (lChord). With our tool, you need to enter the respective value for Chord length 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 Chord length of Quarter Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Quarter Circle = (pi*Radius of Quarter Circle^2)/4
  • Area of Quarter Circle = (Arc length of Quarter Circle^2)/pi
  • Area of Quarter Circle = (pi*(Perimeter of Quarter Circle^2))/((pi+4)^2)
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