Long Diagonal of Circular Arc Quadrangle given Short Diagonal Calculator

✖Short Diagonal of Circular Arc Quadrangle is a straight line joining two non-adjacent corners of a Circular Arc Quadrangle.ⓘ Short Diagonal of Circular Arc Quadrangle [d_Short]

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✖Long Diagonal of Circular Arc Quadrangle is a straight line joining two opposite corners of the object.ⓘ Long Diagonal of Circular Arc Quadrangle given Short Diagonal [d_Long]

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Formula

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Long Diagonal of Circular Arc Quadrangle given Short Diagonal

Formula

`"d"_{"Long"} = "d"_{"Short"}/(sqrt(2)-1)`

Example

`"28.97056m"="12m"/(sqrt(2)-1)`

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Long Diagonal of Circular Arc Quadrangle given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Circular Arc Quadrangle = Short Diagonal of Circular Arc Quadrangle/(sqrt(2)-1)
d_Long = d_Short/(sqrt(2)-1)
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

Long Diagonal of Circular Arc Quadrangle - (Measured in Meter) - Long Diagonal of Circular Arc Quadrangle is a straight line joining two opposite corners of the object.
Short Diagonal of Circular Arc Quadrangle - (Measured in Meter) - Short Diagonal of Circular Arc Quadrangle is a straight line joining two non-adjacent corners of a Circular Arc Quadrangle.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Circular Arc Quadrangle: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = d_Short/(sqrt(2)-1) --> 12/(sqrt(2)-1)

Evaluating ... ...

d_Long = 28.9705627484771

STEP 3: Convert Result to Output's Unit

28.9705627484771 Meter --> No Conversion Required

FINAL ANSWER

28.9705627484771 ≈ 28.97056 Meter <-- Long Diagonal of Circular Arc Quadrangle

(Calculation completed in 00.020 seconds)

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< 4 Long Diagonal of Circular Arc Quadrangle Calculators

Long Diagonal of Circular Arc Quadrangle given Area

Go Long Diagonal of Circular Arc Quadrangle = 2*sqrt(Area of Circular Arc Quadrangle/(4-pi))

Long Diagonal of Circular Arc Quadrangle given Short Diagonal

Go Long Diagonal of Circular Arc Quadrangle = Short Diagonal of Circular Arc Quadrangle/(sqrt(2)-1)

Long Diagonal of Circular Arc Quadrangle given Perimeter

Go Long Diagonal of Circular Arc Quadrangle = 2*Perimeter of Circular Arc Quadrangle/(2*pi)

Long Diagonal of Circular Arc Quadrangle

Go Long Diagonal of Circular Arc Quadrangle = 2*Radius of Circle of Circular Arc Quadrangle

Long Diagonal of Circular Arc Quadrangle given Short Diagonal Formula

Long Diagonal of Circular Arc Quadrangle = Short Diagonal of Circular Arc Quadrangle/(sqrt(2)-1)
d_Long = d_Short/(sqrt(2)-1)

What is a Circular Arc Quadrangle?

A Circular Arc Quadrangle lies between four equal-sized, touching circles. It is a square, which has a quarter circle removed from each side. The circular arc quadrangle resembles to an Astroid, but is a different shape.

How to Calculate Long Diagonal of Circular Arc Quadrangle given Short Diagonal?

Long Diagonal of Circular Arc Quadrangle given Short Diagonal calculator uses Long Diagonal of Circular Arc Quadrangle = Short Diagonal of Circular Arc Quadrangle/(sqrt(2)-1) to calculate the Long Diagonal of Circular Arc Quadrangle, The Long Diagonal of Circular Arc Quadrangle given Short Diagonal formula is defined as the straight line joining the center of two adjacent circles of a Circular Arc Quadrangle, calculated using its short diagonal. Long Diagonal of Circular Arc Quadrangle is denoted by d_Long symbol.

How to calculate Long Diagonal of Circular Arc Quadrangle given Short Diagonal using this online calculator? To use this online calculator for Long Diagonal of Circular Arc Quadrangle given Short Diagonal, enter Short Diagonal of Circular Arc Quadrangle (d_Short) and hit the calculate button. Here is how the Long Diagonal of Circular Arc Quadrangle given Short Diagonal calculation can be explained with given input values -> 28.97056 = 12/(sqrt(2)-1).

FAQ

What is Long Diagonal of Circular Arc Quadrangle given Short Diagonal?

The Long Diagonal of Circular Arc Quadrangle given Short Diagonal formula is defined as the straight line joining the center of two adjacent circles of a Circular Arc Quadrangle, calculated using its short diagonal and is represented as d_Long = d_Short/(sqrt(2)-1) or Long Diagonal of Circular Arc Quadrangle = Short Diagonal of Circular Arc Quadrangle/(sqrt(2)-1). Short Diagonal of Circular Arc Quadrangle is a straight line joining two non-adjacent corners of a Circular Arc Quadrangle.

How to calculate Long Diagonal of Circular Arc Quadrangle given Short Diagonal?

The Long Diagonal of Circular Arc Quadrangle given Short Diagonal formula is defined as the straight line joining the center of two adjacent circles of a Circular Arc Quadrangle, calculated using its short diagonal is calculated using Long Diagonal of Circular Arc Quadrangle = Short Diagonal of Circular Arc Quadrangle/(sqrt(2)-1). To calculate Long Diagonal of Circular Arc Quadrangle given Short Diagonal, you need Short Diagonal of Circular Arc Quadrangle (d_Short). With our tool, you need to enter the respective value for Short Diagonal of Circular Arc Quadrangle 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 Long Diagonal of Circular Arc Quadrangle?

In this formula, Long Diagonal of Circular Arc Quadrangle uses Short Diagonal of Circular Arc Quadrangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Diagonal of Circular Arc Quadrangle = 2*Radius of Circle of Circular Arc Quadrangle
Long Diagonal of Circular Arc Quadrangle = 2*Perimeter of Circular Arc Quadrangle/(2*pi)
Long Diagonal of Circular Arc Quadrangle = 2*sqrt(Area of Circular Arc Quadrangle/(4-pi))

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