Inner Width of Frame given Outer Width and Vertex Diagonal Calculator

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

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Inner Width of Frame given Outer Width and Vertex Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Width of Frame = Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)
w_Inner = w_Outer-(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

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.
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.
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

Outer Width of Frame: 12 Meter --> 12 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_Inner = w_Outer-(sqrt(2)*d_Vertex) --> 12-(sqrt(2)*4)

Evaluating ... ...

w_Inner = 6.34314575050762

STEP 3: Convert Result to Output's Unit

6.34314575050762 Meter --> No Conversion Required

FINAL ANSWER

6.34314575050762 ≈ 6.343146 Meter <-- Inner 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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< Inner Width of Frame Calculators

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

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

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

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

Inner Width of Frame given Outer Width and Vertex Diagonal

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

Inner Width of Frame

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

Inner Width of Frame given Outer Width and Vertex Diagonal Formula

LaTeX Go

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

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

How to calculate Inner Width of Frame given Outer Width and Vertex Diagonal using this online calculator? To use this online calculator for Inner Width of Frame given Outer Width and Vertex Diagonal, enter Outer Width of Frame (w_Outer) & Vertex Diagonal of Frame (d_Vertex) and hit the calculate button. Here is how the Inner Width of Frame given Outer Width and Vertex Diagonal calculation can be explained with given input values -> 6.343146 = 12-(sqrt(2)*4).

FAQ

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

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

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

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

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

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