Radius of Quarter Circle given Chord Length Calculator

✖Chord Length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.ⓘ Chord Length of Quarter Circle [l_Chord]

+10%

-10%

✖Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.ⓘ Radius of Quarter Circle given Chord Length [r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Quarter Circle Formulas PDF PDF Image

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 = l_Chord/sqrt(2)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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 = l_Chord/sqrt(2) --> 7/sqrt(2)

Evaluating ... ...

r = 4.94974746830583

STEP 3: Convert Result to Output's Unit

4.94974746830583 Meter --> No Conversion Required

FINAL ANSWER

4.94974746830583 ≈ 4.949747 Meter <-- Radius of Quarter Circle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Quarter Circle » Radius of Quarter Circle » Radius of Quarter Circle given Chord Length

Credits

Created by Shivakshi Bhardwaj

Cluster Innovation Centre (CIC), Delhi, 110007

Shivakshi Bhardwaj has created this Calculator and 100+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< Radius of Quarter Circle Calculators

Radius of Quarter Circle given Area

LaTeX Go Radius of Quarter Circle = sqrt(4*Area of Quarter Circle/pi)

Radius of Quarter Circle given Perimeter

LaTeX Go Radius of Quarter Circle = (2*Perimeter of Quarter Circle)/(pi+4)

Radius of Quarter Circle given Chord Length

LaTeX Go Radius of Quarter Circle = Chord Length of Quarter Circle/sqrt(2)

Radius of Quarter Circle given Arc Length

LaTeX Go Radius of Quarter Circle = 2*Arc Length of Quarter Circle/pi

Radius of Quarter Circle given Chord Length Formula

LaTeX Go

Radius of Quarter Circle = Chord Length of Quarter Circle/sqrt(2)
r = l_Chord/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, and calculated using chord length. 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 (l_Chord) 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 calculated using chord length and is represented as r = l_Chord/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, and calculated using chord length 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 (l_Chord). 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 = 2*Arc Length of Quarter Circle/pi
Radius of Quarter Circle = sqrt(4*Area of Quarter Circle/pi)
Radius of Quarter Circle = (2*Perimeter of Quarter Circle)/(pi+4)

Home

FREE PDFs

🔍 Search