Diagonal of Square given diameter of incircle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal length of Square = sqrt(2)*Diameter of incircle of Square
d = sqrt(2)*Di
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal length of Square - (Measured in Meter) - The Diagonal length of Square is the length of the line joining any pair of opposite vertices of the Square.
Diameter of incircle of Square - (Measured in Meter) - The Diameter of incircle of Square is the diameter of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.
STEP 1: Convert Input(s) to Base Unit
Diameter of incircle of Square: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt(2)*Di --> sqrt(2)*10
Evaluating ... ...
d = 14.142135623731
STEP 3: Convert Result to Output's Unit
14.142135623731 Meter --> No Conversion Required
FINAL ANSWER
14.142135623731 Meter <-- Diagonal length of Square
(Calculation completed in 00.016 seconds)

Credits

Created by prachi gami
NATIONAL INSTITUTE OF ENGINEERING (nie), mysore
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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7 Diagonal of Square Calculators

Diagonal of Square given diameter of incircle
Diagonal length of Square = sqrt(2)*Diameter of incircle of Square Go
Diagonal of Square given perimeter
Diagonal length of Square = Perimeter of Square/(2*sqrt(2)) Go
Diagonal of Square
Diagonal length of Square = (sqrt(2))*Edge length of Square Go
Diagonal of Square given inradius
Diagonal length of Square = 2*sqrt(2)*Inradius of Square Go
Diagonal of Square given area
Diagonal length of Square = sqrt(2*Area of Square) Go
Diagonal of Square given diameter of circumcircle
Diagonal length of Square = Diameter of circumcircle of Square/1 Go
Diagonal of Square given circumradius
Diagonal length of Square = 2*Circumradius of Square Go

Diagonal of Square given diameter of incircle Formula

Diagonal length of Square = sqrt(2)*Diameter of incircle of Square
d = sqrt(2)*Di

What is a Square?

A Square is a quadrilateral with all the sides are equal and all the angles are equal. To be precise, all the angles will be 90°. In other words, a four sided regular polygon is called Square. This is a fundamental shape in geometry.

How to Calculate Diagonal of Square given diameter of incircle?

Diagonal of Square given diameter of incircle calculator uses Diagonal length of Square = sqrt(2)*Diameter of incircle of Square to calculate the Diagonal length of Square, The Diagonal of Square given diameter of incircle formula is defined as the length of the line joining any pair of opposite vertices of the Square, calculated using diameter of incircle of Square. Diagonal length of Square is denoted by d symbol.

How to calculate Diagonal of Square given diameter of incircle using this online calculator? To use this online calculator for Diagonal of Square given diameter of incircle, enter Diameter of incircle of Square (Di) and hit the calculate button. Here is how the Diagonal of Square given diameter of incircle calculation can be explained with given input values -> 14.14214 = sqrt(2)*10.

FAQ

What is Diagonal of Square given diameter of incircle?
The Diagonal of Square given diameter of incircle formula is defined as the length of the line joining any pair of opposite vertices of the Square, calculated using diameter of incircle of Square and is represented as d = sqrt(2)*Di or Diagonal length of Square = sqrt(2)*Diameter of incircle of Square. The Diameter of incircle of Square is the diameter of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.
How to calculate Diagonal of Square given diameter of incircle?
The Diagonal of Square given diameter of incircle formula is defined as the length of the line joining any pair of opposite vertices of the Square, calculated using diameter of incircle of Square is calculated using Diagonal length of Square = sqrt(2)*Diameter of incircle of Square. To calculate Diagonal of Square given diameter of incircle, you need Diameter of incircle of Square (Di). With our tool, you need to enter the respective value for Diameter of incircle of Square 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 Diagonal length of Square?
In this formula, Diagonal length of Square uses Diameter of incircle of Square. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Diagonal length of Square = (sqrt(2))*Edge length of Square
  • Diagonal length of Square = 2*Circumradius of Square
  • Diagonal length of Square = 2*sqrt(2)*Inradius of Square
  • Diagonal length of Square = Perimeter of Square/(2*sqrt(2))
  • Diagonal length of Square = sqrt(2*Area of Square)
  • Diagonal length of Square = Diameter of circumcircle of Square/1
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