Area of Frame given Inner Length, Inner Width 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 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 Area of Frame is the total quantity of plane enclosed by the boundary of Frame.ⓘ Area of Frame given Inner Length, Inner Width and Vertex Diagonal [A]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Frame Formula PDF PDF Image

Area of Frame given Inner Length, Inner Width and Vertex Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-(Inner Length of Frame*Inner Width of Frame)
A = ((l_Inner+(sqrt(2)*d_Vertex))*(w_Inner+(sqrt(2)*d_Vertex)))-(l_Inner*w_Inner)
This formula uses 1 Functions, 4 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

Area of Frame - (Measured in Square Meter) - The Area of Frame is the total quantity of plane enclosed by the boundary of 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.
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.

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
Inner Width of Frame: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((l_Inner+(sqrt(2)*d_Vertex))*(w_Inner+(sqrt(2)*d_Vertex)))-(l_Inner*w_Inner) --> ((9+(sqrt(2)*4))*(6+(sqrt(2)*4)))-(9*6)

Evaluating ... ...

A = 116.852813742386

STEP 3: Convert Result to Output's Unit

116.852813742386 Square Meter --> No Conversion Required

FINAL ANSWER

116.852813742386 ≈ 116.8528 Square Meter <-- Area of Frame

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Frame » Area of Frame » Area of Frame given Inner Length, Inner Width 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!

< Area of Frame Calculators

Area of Frame given Inner Length, Outer Width and Vertex Diagonal

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

Area of Frame given Outer Length, Outer Width and Vertex Diagonal

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

Area of Frame given Outer Length, Inner Width and Thickness

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

Area of Frame given Inner Length, Outer Width and Thickness

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

Area of Frame given Inner Length, Inner Width and Vertex Diagonal Formula

LaTeX Go

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 Area of Frame given Inner Length, Inner Width and Vertex Diagonal?

Area of Frame given Inner Length, Inner Width and Vertex Diagonal calculator uses Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-(Inner Length of Frame*Inner Width of Frame) to calculate the Area of Frame, The Area of Frame given Inner Length, Inner Width and Vertex Diagonal formula is defined as the total quantity of plane enclosed by the boundary of Frame and calculated using the inner length, inner width, and vertex diagonal of the Frame. Area of Frame is denoted by A symbol.

How to calculate Area of Frame given Inner Length, Inner Width and Vertex Diagonal using this online calculator? To use this online calculator for Area of Frame given Inner Length, Inner Width and Vertex Diagonal, enter Inner Length of Frame (l_Inner), Vertex Diagonal of Frame (d_Vertex) & Inner Width of Frame (w_Inner) and hit the calculate button. Here is how the Area of Frame given Inner Length, Inner Width and Vertex Diagonal calculation can be explained with given input values -> 116.8528 = ((9+(sqrt(2)*4))*(6+(sqrt(2)*4)))-(9*6).

FAQ

What is Area of Frame given Inner Length, Inner Width and Vertex Diagonal?

The Area of Frame given Inner Length, Inner Width and Vertex Diagonal formula is defined as the total quantity of plane enclosed by the boundary of Frame and calculated using the inner length, inner width, and vertex diagonal of the Frame and is represented as A = ((l_Inner+(sqrt(2)*d_Vertex))*(w_Inner+(sqrt(2)*d_Vertex)))-(l_Inner*w_Inner) or Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-(Inner Length of Frame*Inner Width 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 & The Inner Width of Frame is the breadth or shortest side of the inner rectangle of the Frame.

How to calculate Area of Frame given Inner Length, Inner Width and Vertex Diagonal?

The Area of Frame given Inner Length, Inner Width and Vertex Diagonal formula is defined as the total quantity of plane enclosed by the boundary of Frame and calculated using the inner length, inner width, and vertex diagonal of the Frame is calculated using Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*(Inner Width of Frame+(sqrt(2)*Vertex Diagonal of Frame)))-(Inner Length of Frame*Inner Width of Frame). To calculate Area of Frame given Inner Length, Inner Width and Vertex Diagonal, you need Inner Length of Frame (l_Inner), Vertex Diagonal of Frame (d_Vertex) & Inner Width of Frame (w_Inner). With our tool, you need to enter the respective value for Inner Length of Frame, Vertex Diagonal of Frame & Inner Width 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 Area of Frame?

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

Area of Frame = (Outer Length of Frame*(Inner Width of Frame+(2*Thickness of Frame)))-((Outer Length of Frame-(2*Thickness of Frame))*Inner Width of Frame)
Area of Frame = ((Inner Length of Frame+(2*Thickness of Frame))*Outer Width of Frame)-(Inner Length of Frame*(Outer Width of Frame-(2*Thickness of Frame)))
Area of Frame = ((Inner Length of Frame+(sqrt(2)*Vertex Diagonal of Frame))*Outer Width of Frame)-(Inner Length of Frame*(Outer Width of Frame-(sqrt(2)*Vertex Diagonal of Frame)))

Home

FREE PDFs

🔍 Search