Diameter 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]

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✖Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.ⓘ Diameter of Quarter Circle given Chord Length [D_Circle]

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Diameter of Quarter Circle given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circle of Quarter Circle = Chord Length of Quarter Circle*sqrt(2)
D_Circle = 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

Diameter of Circle of Quarter Circle - (Measured in Meter) - Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.
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

D_Circle = l_Chord*sqrt(2) --> 7*sqrt(2)

Evaluating ... ...

D_Circle = 9.89949493661167

STEP 3: Convert Result to Output's Unit

9.89949493661167 Meter --> No Conversion Required

FINAL ANSWER

9.89949493661167 ≈ 9.899495 Meter <-- Diameter of Circle of Quarter Circle

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Diameter of Quarter Circle Calculators

Diameter of Quarter Circle given Area

LaTeX Go Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi)

Diameter of Quarter Circle given Chord Length

LaTeX Go Diameter of Circle of Quarter Circle = Chord Length of Quarter Circle*sqrt(2)

Diameter of Quarter Circle given Arc Length

LaTeX Go Diameter of Circle of Quarter Circle = 4*Arc Length of Quarter Circle/pi

Diameter of Quarter Circle

LaTeX Go Diameter of Circle of Quarter Circle = 2*Radius of Quarter Circle

Diameter of Quarter Circle given Chord Length Formula

LaTeX Go

Diameter of Circle of Quarter Circle = Chord Length of Quarter Circle*sqrt(2)
D_Circle = 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 Diameter of Quarter Circle given Chord Length?

Diameter of Quarter Circle given Chord Length calculator uses Diameter of Circle of Quarter Circle = Chord Length of Quarter Circle*sqrt(2) to calculate the Diameter of Circle of Quarter Circle, The Diameter of Quarter Circle given Chord Length formula is defined as the length of the diameter of the circle from which the Quarter Circle is cut and calculated using the chord length of the Quarter Circle. Diameter of Circle of Quarter Circle is denoted by D_Circle symbol.

How to calculate Diameter of Quarter Circle given Chord Length using this online calculator? To use this online calculator for Diameter of Quarter Circle given Chord Length, enter Chord Length of Quarter Circle (l_Chord) and hit the calculate button. Here is how the Diameter of Quarter Circle given Chord Length calculation can be explained with given input values -> 9.899495 = 7*sqrt(2).

FAQ

What is Diameter of Quarter Circle given Chord Length?

The Diameter of Quarter Circle given Chord Length formula is defined as the length of the diameter of the circle from which the Quarter Circle is cut and calculated using the chord length of the Quarter Circle and is represented as D_Circle = l_Chord*sqrt(2) or Diameter of Circle 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 Diameter of Quarter Circle given Chord Length?

The Diameter of Quarter Circle given Chord Length formula is defined as the length of the diameter of the circle from which the Quarter Circle is cut and calculated using the chord length of the Quarter Circle is calculated using Diameter of Circle of Quarter Circle = Chord Length of Quarter Circle*sqrt(2). To calculate Diameter 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 Diameter of Circle of Quarter Circle?

In this formula, Diameter of Circle 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 -

Diameter of Circle of Quarter Circle = 2*Radius of Quarter Circle
Diameter of Circle of Quarter Circle = 4*Arc Length of Quarter Circle/pi
Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi)

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