Inner Length of Frame given Outer Length and Vertex Diagonal Calculator

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

⎘ Copy

👎

Formula

✖

Inner Length of Frame given Outer Length and Vertex Diagonal

Formula

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

Example

`"9.343146m"="15m"-(sqrt(2)*"4m")`

Calculator

LaTeX

Reset

👍

Download Frame Formula PDF

Inner Length of Frame given Outer Length and Vertex Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Length of Frame = Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame)
l_Inner = l_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 Length of Frame - (Measured in Meter) - The Inner Length of Frame is the length or longest side of the inner rectangle of the Frame.
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.
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 Length of Frame: 15 Meter --> 15 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_Inner = l_Outer-(sqrt(2)*d_Vertex) --> 15-(sqrt(2)*4)

Evaluating ... ...

l_Inner = 9.34314575050762

STEP 3: Convert Result to Output's Unit

9.34314575050762 Meter --> No Conversion Required

FINAL ANSWER

9.34314575050762 ≈ 9.343146 Meter <-- Inner Length of Frame

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Frame » Length of Frame » Inner Length of Frame » Inner Length of Frame given Outer Length and Vertex Diagonal

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 4 Inner Length of Frame Calculators

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

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

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

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

Inner Length of Frame given Outer Length and Vertex Diagonal

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

Inner Length of Frame

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

< 14 Important Formulas of Frame Calculators

Area of Frame given Inner Length, Inner Width and Thickness

Go Area of Frame = ((Inner Length of Frame+(2*Thickness of Frame))*(Inner Width of Frame+(2*Thickness of Frame)))-(Inner Length of Frame*Inner Width of Frame)

Area of Frame given Outer Length, Outer Width and Thickness

Go Area of Frame = (Outer Length of Frame*Outer Width of Frame)-((Outer Length of Frame-(2*Thickness of Frame))*(Outer Width of Frame-(2*Thickness of Frame)))

Perimeter of Frame

Go Perimeter of Frame = 2*(Outer Length of Frame+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

Area of Frame

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

Inner Length of Frame given Outer Length and Vertex Diagonal

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

Thickness of Frame given Inner and Outer Lengths

Go Thickness of Frame = (Outer Length of Frame-Inner Length of Frame)/2

Inner Length of Frame

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

Outer Length of Frame

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

Perimeter of Frame given Inner Length and Outer Width

Go Perimeter of Frame = 4*(Inner Length of Frame+Outer Width of Frame)

Thickness of Frame given Inner and Outer Widths

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

Inner Width of Frame

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

Outer Width of Frame

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

Vertex Diagonal of Frame

Go Vertex Diagonal of Frame = sqrt(2)*Thickness of Frame

Inner Length of Frame given Outer Length and Vertex Diagonal Formula

Inner Length of Frame = Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame)
l_Inner = l_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 Length of Frame given Outer Length and Vertex Diagonal?

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

How to calculate Inner Length of Frame given Outer Length and Vertex Diagonal using this online calculator? To use this online calculator for Inner Length of Frame given Outer Length and Vertex Diagonal, enter Outer Length of Frame (l_Outer) & Vertex Diagonal of Frame (d_Vertex) and hit the calculate button. Here is how the Inner Length of Frame given Outer Length and Vertex Diagonal calculation can be explained with given input values -> 9.343146 = 15-(sqrt(2)*4).

FAQ

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

The Inner Length of Frame given Outer Length and Vertex Diagonal formula is defined as the length or longest side of the inner rectangle of the Frame and calculated using the outer length and vertex diagonal of the Frame and is represented as l_Inner = l_Outer-(sqrt(2)*d_Vertex) or Inner Length of Frame = Outer Length of Frame-(sqrt(2)*Vertex Diagonal of Frame). The Outer Length of Frame is the length or longest 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 Length of Frame given Outer Length and Vertex Diagonal?

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

In this formula, Inner Length of Frame uses Outer Length of Frame & Vertex Diagonal of Frame. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search