## Radius of Quarter Circle given chord length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Quarter Circle = Chord length of Quarter Circle/sqrt(2)
r = lChord/sqrt(2)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius of Quarter Circle - (Measured in Meter) - Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the 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
r = lChord/sqrt(2) --> 7/sqrt(2)
Evaluating ... ...
r = 4.94974746830583
STEP 3: Convert Result to Output's Unit
4.94974746830583 Meter --> No Conversion Required
4.94974746830583 Meter <-- Radius of Quarter Circle
(Calculation completed in 00.000 seconds)
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## < 4 Radius of Quarter Circle Calculators

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

## Radius of Quarter Circle given chord length Formula

Radius of Quarter Circle = Chord length of Quarter Circle/sqrt(2)
r = lChord/sqrt(2)

## 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 chord length?

Radius of Quarter Circle given chord length calculator uses Radius of Quarter Circle = Chord length of Quarter Circle/sqrt(2) to calculate the Radius of Quarter Circle, The Radius of Quarter Circle given chord length formula is defined as the radius of the Circle from which the given Quarter Circle is cut. Radius of Quarter Circle is denoted by r symbol.

How to calculate Radius of Quarter Circle given chord length using this online calculator? To use this online calculator for Radius of Quarter Circle given chord length, enter Chord length of Quarter Circle (lChord) and hit the calculate button. Here is how the Radius of Quarter Circle given chord length calculation can be explained with given input values -> 4.949747 = 7/sqrt(2).

### FAQ

What is Radius of Quarter Circle given chord length?
The Radius of Quarter Circle given chord length formula is defined as the radius of the Circle from which the given Quarter Circle is cut and is represented as r = lChord/sqrt(2) or Radius of Quarter Circle = Chord length of Quarter Circle/sqrt(2). Chord length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.
How to calculate Radius of Quarter Circle given chord length?
The Radius of Quarter Circle given chord length formula is defined as the radius of the Circle from which the given Quarter Circle is cut is calculated using Radius of Quarter Circle = Chord length of Quarter Circle/sqrt(2). To calculate Radius of Quarter Circle given chord length, you need Chord length of Quarter Circle (lChord). 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 Radius of Quarter Circle?
In this formula, Radius 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 -
• Radius of Quarter Circle = (Arc length of Quarter Circle/pi)*2
• Radius of Quarter Circle = sqrt(4*Area of Quarter Circle/pi)
• Radius of Quarter Circle = (2*Perimeter of Quarter Circle)/(pi+4) Let Others Know