Area of Quarter Circle given Chord Length Calculator

✖Chord Length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.ⓘ Chord Length of Quarter Circle [l_Chord]

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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 Chord Length [A]

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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*l_Chord^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*l_Chord^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 ≈ 19.24226 Square Meter <-- Area of Quarter Circle

(Calculation completed in 00.020 seconds)

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Created by Shivakshi Bhardwaj

Cluster Innovation Centre (CIC), Delhi, 110007

Shivakshi Bhardwaj has created this Calculator and 100+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< 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 Chord Length Formula

LaTeX Go

Area of Quarter Circle = (pi*Chord Length of Quarter Circle^2)/8
A = (pi*l_Chord^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, calculated using chord length. 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 (l_Chord) 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, calculated using chord length and is represented as A = (pi*l_Chord^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, calculated using chord length 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 (l_Chord). 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 = (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*Diameter of Circle of Quarter Circle^2)/16

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