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Shortest Distance of Line from Origin Formula

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Shortest Distance of Line from Origin is the perpendicular distance between a Line in two dimensional plane and the origin. Check FAQs

d Origin = mod \underset{̲}{u} s (\frac{c Line}{\sqrt{({L x}^{2}) + ({L y}^{2})}})

d_Origin - Shortest Distance of Line from Origin?c_Line - Constant Term of Line?L_x - X Coefficient of Line?L_y - Y Coefficient of Line?

Shortest Distance of Line from Origin Example

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Here is how the Shortest Distance of Line from Origin equation looks like with Values.

Here is how the Shortest Distance of Line from Origin equation looks like with Units.

Here is how the Shortest Distance of Line from Origin equation looks like.

4.4721 = mod \underset{̲}{u} s (\frac{30}{\sqrt{(6^{2}) + ({-3}^{2})}})

4.4721 = mod \underset{̲}{u} s (\frac{30}{\sqrt{(6^{2}) + ({-3}^{2})}})

4.4721 = mod \underset{̲}{u} s (\frac{30}{\sqrt{(6^{2}) + ({-3}^{2})}})

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Shortest Distance of Line from Origin Solution

Follow our step by step solution on how to calculate Shortest Distance of Line from Origin?

FIRST Step Consider the formula

d Origin = mod \underset{̲}{u} s (\frac{c Line}{\sqrt{({L x}^{2}) + ({L y}^{2})}})

Next Step Substitute values of Variables

∴

d Origin = mod \underset{̲}{u} s (\frac{30}{\sqrt{(6^{2}) + ({-3}^{2})}})

Next Step Prepare to Evaluate

∴

d Origin = mod \underset{̲}{u} s (\frac{30}{\sqrt{(6^{2}) + ({-3}^{2})}})

Next Step Evaluate

∴

d Origin = 4.47213595499958

LAST Step Rounding Answer

∴

d Origin = 4.4721

Shortest Distance of Line from Origin Formula Elements

Variables

Functions

Shortest Distance of Line from Origin

Shortest Distance of Line from Origin is the perpendicular distance between a Line in two dimensional plane and the origin.

Symbol: d_Origin

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shortest Distance of Line from Origin

Constant Term of Line

Constant Term of Line is the numerical value which is not a coefficient of x or y in the standard equation of a Line ax+by+c=0 in two dimensional plane.

Symbol: c_Line

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant Term of Line

X Coefficient of Line

X Coefficient of Line is the numerical coefficient of x in the standard equation of a Line ax+by+c=0 in two dimensional plane.

Symbol: L_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find X Coefficient of Line

Y Coefficient of Line

Y Coefficient of Line is the numerical coefficient of y in the standard equation of a Line ax+by+c=0 in two dimensional plane.

Symbol: L_y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Y Coefficient of Line

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.

Syntax: sqrt(Number)

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in Line category

Go Shortest Distance of Arbitrary Point from Line

d = mod \underset{̲}{u} s (\frac{(L x \cdot x a) + (L y \cdot y a) + c Line}{\sqrt{({L x}^{2}) + ({L y}^{2})}})

Go X Coefficient of Line given Slope

L x = - (L y \cdot m)

Go Number of Straight Lines using Non Collinear Points

N Lines = C (N Non Collinear, 2)

How to Evaluate Shortest Distance of Line from Origin?

Shortest Distance of Line from Origin evaluator uses Shortest Distance of Line from Origin = modulus(Constant Term of Line/sqrt((X Coefficient of Line^2)+(Y Coefficient of Line^2))) to evaluate the Shortest Distance of Line from Origin, Shortest Distance of Line from Origin formula is defined as the perpendicular distance between a Line in two dimensional plane and the origin. Shortest Distance of Line from Origin is denoted by d_Origin symbol.

How to evaluate Shortest Distance of Line from Origin using this online evaluator? To use this online evaluator for Shortest Distance of Line from Origin, enter Constant Term of Line (c_Line), X Coefficient of Line (L_x) & Y Coefficient of Line (L_y) and hit the calculate button.

FAQs on Shortest Distance of Line from Origin

What is the formula to find Shortest Distance of Line from Origin?

The formula of Shortest Distance of Line from Origin is expressed as Shortest Distance of Line from Origin = modulus(Constant Term of Line/sqrt((X Coefficient of Line^2)+(Y Coefficient of Line^2))). Here is an example- 4.472136 = modulus(30/sqrt((6^2)+((-3)^2))).

How to calculate Shortest Distance of Line from Origin?

With Constant Term of Line (c_Line), X Coefficient of Line (L_x) & Y Coefficient of Line (L_y) we can find Shortest Distance of Line from Origin using the formula - Shortest Distance of Line from Origin = modulus(Constant Term of Line/sqrt((X Coefficient of Line^2)+(Y Coefficient of Line^2))). This formula also uses Square Root (sqrt), Modulus (modulus) function(s).

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Shortest Distance of Line from Origin Formula

Shortest Distance of Line from Origin Example

Shortest Distance of Line from Origin Solution

Shortest Distance of Line from Origin Formula Elements

Other formulas in Line category

How to Evaluate Shortest Distance of Line from Origin?

FAQs on Shortest Distance of Line from Origin

Variable Name