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Area of a Square when diagonal is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 1/2*(Diagonal)^2
A = 1/2*(d)^2
This formula uses 1 Variables
Variables Used
Diagonal - A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 1/2*(d)^2 --> 1/2*(8)^2
Evaluating ... ...
A = 32
STEP 3: Convert Result to Output's Unit
32 Square Meter --> No Conversion Required
FINAL ANSWER
32 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Perimeter of a rectangle when diagonal and length are given
perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go
Perimeter of rectangle when diagonal and width are given
perimeter = 2*(sqrt((Diagonal)^2-(Width)^2)+Width) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Length of rectangle when diagonal and angle between two diagonal are given
length = Diagonal*sin(sinϑ/2) Go
Breadth of rectangle when diagonal and angle between diagonal and length are given
breadth = Diagonal*sin(sinϑ) Go
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
length = Diagonal*sin(sinϑ) Go
Length of rectangle when diagonal and breadth are given
length = sqrt(Diagonal^2-Breadth^2) Go
Breadth of rectangle when diagonal and length are given
breadth = sqrt(Diagonal^2-Length^2) Go
Breadth of rectangle when diagonal and angle between diagonals are given
breadth = Diagonal*cos(Theta/2) Go
Perimeter of a square when diagonal is given
perimeter = 4*(Diagonal/sqrt(2)) Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of a Square when diagonal is given Formula

area = 1/2*(Diagonal)^2
A = 1/2*(d)^2

How to Calculate Area of a Square when diagonal is given?

Area of a Square when diagonal is given calculator uses area = 1/2*(Diagonal)^2 to calculate the Area, The area of a square when diagonal is given is defined as the number of square units needed to fill a square with a given diagonal. Area and is denoted by A symbol.

How to calculate Area of a Square when diagonal is given using this online calculator? To use this online calculator for Area of a Square when diagonal is given, enter Diagonal (d) and hit the calculate button. Here is how the Area of a Square when diagonal is given calculation can be explained with given input values -> 32 = 1/2*(8)^2.

FAQ

What is Area of a Square when diagonal is given?
The area of a square when diagonal is given is defined as the number of square units needed to fill a square with a given diagonal and is represented as A = 1/2*(d)^2 or area = 1/2*(Diagonal)^2. A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape.
How to calculate Area of a Square when diagonal is given?
The area of a square when diagonal is given is defined as the number of square units needed to fill a square with a given diagonal is calculated using area = 1/2*(Diagonal)^2. To calculate Area of a Square when diagonal is given, you need Diagonal (d). With our tool, you need to enter the respective value for Diagonal 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?
In this formula, Area uses Diagonal. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
  • area = (3/2)*sqrt(3)*Side^2
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