Outer Length of Frame given Inner Length and Vertex Diagonal Calculator

✖The Inner Length of Frame is the length or longest side of the inner rectangle of the Frame.ⓘ Inner Length of Frame [l_Inner]			+10% -10%
✖The Vertex Diagonal of Frame is the linear distance between any pair adjacent vertices of inner and outer rectangles of Frame.ⓘ Vertex Diagonal of Frame [d_Vertex]			+10% -10%

✖The Outer Length of Frame is the length or longest side of the outer rectangle of the Frame.ⓘ Outer Length of Frame given Inner Length and Vertex Diagonal [l_Outer]

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Formula

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Outer Length of Frame given Inner Length and Vertex Diagonal

Formula

`"l"_{"Outer"} = "l"_{"Inner"}+(sqrt(2)*"d"_{"Vertex"})`

Example

`"14.65685m"="9m"+(sqrt(2)*"4m")`

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Outer Length of Frame given Inner Length and Vertex Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Length of Frame = Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame)
l_Outer = l_Inner+(sqrt(2)*d_Vertex)
This formula uses 1 Functions, 3 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

Outer Length of Frame - (Measured in Meter) - The Outer Length of Frame is the length or longest side of the outer rectangle of the Frame.
Inner Length of Frame - (Measured in Meter) - The Inner Length of Frame is the length or longest side of the inner rectangle of the Frame.
Vertex Diagonal of Frame - (Measured in Meter) - The Vertex Diagonal of Frame is the linear distance between any pair adjacent vertices of inner and outer rectangles of Frame.

STEP 1: Convert Input(s) to Base Unit

Inner Length of Frame: 9 Meter --> 9 Meter No Conversion Required
Vertex Diagonal of Frame: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Outer = l_Inner+(sqrt(2)*d_Vertex) --> 9+(sqrt(2)*4)

Evaluating ... ...

l_Outer = 14.6568542494924

STEP 3: Convert Result to Output's Unit

14.6568542494924 Meter --> No Conversion Required

FINAL ANSWER

14.6568542494924 ≈ 14.65685 Meter <-- Outer Length of Frame

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 4 Outer Length of Frame Calculators

Outer Length of Frame given Perimeter, Inner Length, Inner and Outer Widths

Go Outer Length of Frame = (Perimeter of Frame/2)-(Inner Length of Frame+Outer Width of Frame+Inner Width of Frame)

Outer Length of Frame given Area, Inner Length, Inner and Outer Widths

Go Outer Length of Frame = (Area of Frame+(Inner Length of Frame*Inner Width of Frame))/Outer Width of Frame

Outer Length of Frame given Inner Length and Vertex Diagonal

Go Outer Length of Frame = Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame)

Outer Length of Frame

Go Outer Length of Frame = Inner Length of Frame+(2*Thickness of Frame)

Outer Length of Frame given Inner Length and Vertex Diagonal Formula

Outer Length of Frame = Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame)
l_Outer = l_Inner+(sqrt(2)*d_Vertex)

What is a Frame?

A Frame is a rectangle, from which a smaller rectangle is removed centrally, whose length and width are an equal value shorter than that of the larger one. The actual rectangle is called outer rectangle and the removed smaller rectangle is called inner rectangle.

How to Calculate Outer Length of Frame given Inner Length and Vertex Diagonal?

Outer Length of Frame given Inner Length and Vertex Diagonal calculator uses Outer Length of Frame = Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame) to calculate the Outer Length of Frame, The Outer Length of Frame given Inner Length and Vertex Diagonal formula is defined as the length or longest side of the outer rectangle of the Frame and calculated using the inner length and vertex diagonal of the Frame. Outer Length of Frame is denoted by l_Outer symbol.

How to calculate Outer Length of Frame given Inner Length and Vertex Diagonal using this online calculator? To use this online calculator for Outer Length of Frame given Inner Length and Vertex Diagonal, enter Inner Length of Frame (l_Inner) & Vertex Diagonal of Frame (d_Vertex) and hit the calculate button. Here is how the Outer Length of Frame given Inner Length and Vertex Diagonal calculation can be explained with given input values -> 14.65685 = 9+(sqrt(2)*4).

FAQ

What is Outer Length of Frame given Inner Length and Vertex Diagonal?

The Outer Length of Frame given Inner Length and Vertex Diagonal formula is defined as the length or longest side of the outer rectangle of the Frame and calculated using the inner length and vertex diagonal of the Frame and is represented as l_Outer = l_Inner+(sqrt(2)*d_Vertex) or Outer Length of Frame = Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame). The Inner Length of Frame is the length or longest side of the inner rectangle of the Frame & The Vertex Diagonal of Frame is the linear distance between any pair adjacent vertices of inner and outer rectangles of Frame.

How to calculate Outer Length of Frame given Inner Length and Vertex Diagonal?

The Outer Length of Frame given Inner Length and Vertex Diagonal formula is defined as the length or longest side of the outer rectangle of the Frame and calculated using the inner length and vertex diagonal of the Frame is calculated using Outer Length of Frame = Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame). To calculate Outer Length of Frame given Inner Length and Vertex Diagonal, you need Inner Length of Frame (l_Inner) & Vertex Diagonal of Frame (d_Vertex). With our tool, you need to enter the respective value for Inner Length of Frame & Vertex Diagonal of Frame 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 Outer Length of Frame?

In this formula, Outer Length of Frame uses Inner Length of Frame & Vertex Diagonal of Frame. We can use 3 other way(s) to calculate the same, which is/are as follows -

Outer Length of Frame = Inner Length of Frame+(2*Thickness of Frame)
Outer Length of Frame = (Perimeter of Frame/2)-(Inner Length of Frame+Outer Width of Frame+Inner Width of Frame)
Outer Length of Frame = (Area of Frame+(Inner Length of Frame*Inner Width of Frame))/Outer Width of Frame

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