Outer Width of Frame given Inner Width and Vertex Diagonal Calculator

✖The Inner Width of Frame is the breadth or shortest side of the inner rectangle of the Frame.ⓘ Inner Width of Frame [w_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 Width of Frame is the breadth or shortest side of the outer rectangle of the Frame.ⓘ Outer Width of Frame given Inner Width and Vertex Diagonal [w_Outer]

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Formula

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Outer Width of Frame given Inner Width and Vertex Diagonal

Formula

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

Example

`"11.65685m"="6m"+(sqrt(2)*"4m")`

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Outer Width of Frame given Inner Width and Vertex Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Width of Frame = Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)
w_Outer = w_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 Width of Frame - (Measured in Meter) - The Outer Width of Frame is the breadth or shortest side of the outer rectangle of the Frame.
Inner Width of Frame - (Measured in Meter) - The Inner Width of Frame is the breadth or shortest 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 Width of Frame: 6 Meter --> 6 Meter No Conversion Required
Vertex Diagonal of Frame: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_Outer = w_Inner+(sqrt(2)*d_Vertex) --> 6+(sqrt(2)*4)

Evaluating ... ...

w_Outer = 11.6568542494924

STEP 3: Convert Result to Output's Unit

11.6568542494924 Meter --> No Conversion Required

FINAL ANSWER

11.6568542494924 ≈ 11.65685 Meter <-- Outer Width 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 Width of Frame Calculators

Outer Width of Frame given Perimeter, Inner Width, Inner and Outer Lengths

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

Outer Width of Frame given Area, Inner Width, Inner and Outer Lengths

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

Outer Width of Frame given Inner Width and Vertex Diagonal

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

Outer Width of Frame

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

Outer Width of Frame given Inner Width and Vertex Diagonal Formula

Outer Width of Frame = Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)
w_Outer = w_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 Width of Frame given Inner Width and Vertex Diagonal?

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

How to calculate Outer Width of Frame given Inner Width and Vertex Diagonal using this online calculator? To use this online calculator for Outer Width of Frame given Inner Width and Vertex Diagonal, enter Inner Width of Frame (w_Inner) & Vertex Diagonal of Frame (d_Vertex) and hit the calculate button. Here is how the Outer Width of Frame given Inner Width and Vertex Diagonal calculation can be explained with given input values -> 11.65685 = 6+(sqrt(2)*4).

FAQ

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

The Outer Width of Frame given Inner Width and Vertex Diagonal formula is defined as the breadth or shortest side of the outer rectangle of the Frame and calculated using the inner width and vertex diagonal of the Frame and is represented as w_Outer = w_Inner+(sqrt(2)*d_Vertex) or Outer Width of Frame = Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame). The Inner Width of Frame is the breadth or shortest 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 Width of Frame given Inner Width and Vertex Diagonal?

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

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

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

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