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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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Radius of Quarter Circle given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius = (2*Perimeter)/(pi+4)
r = (2*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
r = (2*P)/(pi+4) --> (2*25)/(pi+4)
Evaluating ... ...
r = 7.00123941889447
STEP 3: Convert Result to Output's Unit
7.00123941889447 Meter --> No Conversion Required
FINAL ANSWER
7.00123941889447 Meter <-- Radius
(Calculation completed in 00.000 seconds)

3 Radius of Quarter Circle Calculators

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

Radius of Quarter Circle given perimeter Formula

Radius = (2*Perimeter)/(pi+4)
r = (2*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 Radius of Quarter Circle given perimeter?

Radius of Quarter Circle given perimeter calculator uses Radius = (2*Perimeter)/(pi+4) to calculate the Radius, The Radius of Quarter Circle given perimeter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the perimeter of that Quarter Circle. Radius is denoted by r symbol.

How to calculate Radius of Quarter Circle given perimeter using this online calculator? To use this online calculator for Radius of Quarter Circle given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Radius of Quarter Circle given perimeter calculation can be explained with given input values -> 7.001239 = (2*25)/(pi+4).

FAQ

What is Radius of Quarter Circle given perimeter?
The Radius of Quarter Circle given perimeter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the perimeter of that Quarter Circle and is represented as r = (2*P)/(pi+4) or Radius = (2*Perimeter)/(pi+4). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Radius of Quarter Circle given perimeter?
The Radius of Quarter Circle given perimeter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the perimeter of that Quarter Circle is calculated using Radius = (2*Perimeter)/(pi+4). To calculate Radius 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 Radius?
In this formula, Radius uses Perimeter. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Radius = (Arc Length/pi)*2
  • Radius = sqrt(4*Area/pi)
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