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Arc length of Quarter Circle given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Arc Length = (pi*Perimeter)/(pi+4)
s = (pi*P)/(pi+4)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (pi*P)/(pi+4) --> (pi*25)/(pi+4)
Evaluating ... ...
s = 10.9975211622111
STEP 3: Convert Result to Output's Unit
10.9975211622111 Meter --> No Conversion Required
FINAL ANSWER
10.9975211622111 Meter <-- Arc Length
(Calculation completed in 00.000 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 perimeter Formula

Arc Length = (pi*Perimeter)/(pi+4)
s = (pi*P)/(pi+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 Arc length of Quarter Circle given perimeter?

Arc length of Quarter Circle given perimeter calculator uses Arc Length = (pi*Perimeter)/(pi+4) to calculate the Arc Length, The Arc length of Quarter Circle given perimeter formula is defined as the length of the curved part of the boundary of the given Quarter Circle and calculated by using the total perimeter of the Quarter Circle. Arc Length is denoted by s symbol.

How to calculate Arc length of Quarter Circle given perimeter using this online calculator? To use this online calculator for Arc length of Quarter Circle given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Arc length of Quarter Circle given perimeter calculation can be explained with given input values -> 10.99752 = (pi*25)/(pi+4).

FAQ

What is Arc length of Quarter Circle given perimeter?
The Arc length of Quarter Circle given perimeter formula is defined as the length of the curved part of the boundary of the given Quarter Circle and calculated by using the total perimeter of the Quarter Circle and is represented as s = (pi*P)/(pi+4) or Arc Length = (pi*Perimeter)/(pi+4). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Arc length of Quarter Circle given perimeter?
The Arc length of Quarter Circle given perimeter formula is defined as the length of the curved part of the boundary of the given Quarter Circle and calculated by using the total perimeter of the Quarter Circle is calculated using Arc Length = (pi*Perimeter)/(pi+4). To calculate Arc length of Quarter Circle given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Arc Length = sqrt(pi*Area)
  • Arc Length = (pi*Radius)/2
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