Area of Quarter Circle given Arc Length Calculator

✖Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.ⓘ Arc Length of Quarter Circle [l_Arc]

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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 Arc Length [A]

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Area of Quarter Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Quarter Circle = (Arc Length of Quarter Circle^2)/pi
A = (l_Arc^2)/pi
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.
Arc Length of Quarter Circle - (Measured in Meter) - Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Quarter Circle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (l_Arc^2)/pi --> (8^2)/pi

Evaluating ... ...

A = 20.3718327157626

STEP 3: Convert Result to Output's Unit

20.3718327157626 Square Meter --> No Conversion Required

FINAL ANSWER

20.3718327157626 ≈ 20.37183 Square Meter <-- Area of Quarter Circle

(Calculation completed in 00.004 seconds)

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< 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 Arc Length Formula

LaTeX Go

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

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 given Arc Length?

Area of Quarter Circle given Arc Length calculator uses Area of Quarter Circle = (Arc Length of Quarter Circle^2)/pi to calculate the Area of Quarter Circle, The Area of Quarter Circle given Arc Length formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and calculated using the arc length of the Quarter Circle. Area of Quarter Circle is denoted by A symbol.

How to calculate Area of Quarter Circle given Arc Length using this online calculator? To use this online calculator for Area of Quarter Circle given Arc Length, enter Arc Length of Quarter Circle (l_Arc) and hit the calculate button. Here is how the Area of Quarter Circle given Arc Length calculation can be explained with given input values -> 20.37183 = (8^2)/pi.

FAQ

What is Area of Quarter Circle given Arc Length?

How to calculate Area of Quarter Circle given Arc Length?

The Area of Quarter Circle given Arc Length formula is defined as the total quantity of plane occupied by the boundary of the Quarter Circle and calculated using the arc length of the Quarter Circle is calculated using Area of Quarter Circle = (Arc Length of Quarter Circle^2)/pi. To calculate Area of Quarter Circle given Arc Length, you need Arc Length of Quarter Circle (l_Arc). With our tool, you need to enter the respective value for Arc 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 Arc 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*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*Diameter of Circle of Quarter Circle^2)/16

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