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IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
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Arc length of Quarter Circle given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Arc Length = sqrt(pi*Area)
s = sqrt(pi*A)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = sqrt(pi*A) --> sqrt(pi*50)
Evaluating ... ...
s = 12.533141373155
STEP 3: Convert Result to Output's Unit
12.533141373155 Meter --> No Conversion Required
FINAL ANSWER
12.533141373155 Meter <-- Arc Length
(Calculation completed in 00.016 seconds)

3 Arc length of Quarter Circle Calculators

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

Arc length of Quarter Circle given area Formula

Arc Length = sqrt(pi*Area)
s = sqrt(pi*A)

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 Arc length of Quarter Circle given area?

Arc length of Quarter Circle given area calculator uses Arc Length = sqrt(pi*Area) to calculate the Arc Length, The Arc length of Quarter Circle given area formula is defined as the length of the curved part of the boundary of the given Quarter Circle and find by using the area of the Quarter Circle. Arc Length is denoted by s symbol.

How to calculate Arc length of Quarter Circle given area using this online calculator? To use this online calculator for Arc length of Quarter Circle given area, enter Area (A) and hit the calculate button. Here is how the Arc length of Quarter Circle given area calculation can be explained with given input values -> 12.53314 = sqrt(pi*50).

FAQ

What is Arc length of Quarter Circle given area?
The Arc length of Quarter Circle given area formula is defined as the length of the curved part of the boundary of the given Quarter Circle and find by using the area of the Quarter Circle and is represented as s = sqrt(pi*A) or Arc Length = sqrt(pi*Area). The area is the amount of two-dimensional space taken up by an object.
How to calculate Arc length of Quarter Circle given area?
The Arc length of Quarter Circle given area formula is defined as the length of the curved part of the boundary of the given Quarter Circle and find by using the area of the Quarter Circle is calculated using Arc Length = sqrt(pi*Area). To calculate Arc length of Quarter Circle given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Arc Length?
In this formula, Arc Length uses Area. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Arc Length = (pi*Radius)/2
  • Arc Length = (pi*Perimeter)/(pi+4)
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