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Area of a Rhombus when side and diagonals are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
A = (1/2)*(da)*(sqrt(4*s^2-(da)^2))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal A - Diagonal A is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. (Measured in Meter)
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal A: 5 Meter --> 5 Meter No Conversion Required
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (1/2)*(da)*(sqrt(4*s^2-(da)^2)) --> (1/2)*(5)*(sqrt(4*9^2-(5)^2))
Evaluating ... ...
A = 43.2290411644765
STEP 3: Convert Result to Output's Unit
43.2290411644765 Square Meter --> No Conversion Required
FINAL ANSWER
43.2290411644765 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Pyramid
total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2)) Go
Lateral Surface Area of a Pyramid
lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Base Surface Area of a Pyramid
base_surface_area = Side^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go
Volume of a Cube
volume = Side^3 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 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 diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of a Rhombus when side and diagonals are given Formula

area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
A = (1/2)*(da)*(sqrt(4*s^2-(da)^2))

How to Calculate Area of a Rhombus when side and diagonals are given?

Area of a Rhombus when side and diagonals are given calculator uses area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) to calculate the Area, The area of a rhombus when side and diagonals are given can be defined as the amount of space enclosed by a rhombus in a two-dimensional space with given side and diagonals. Area and is denoted by A symbol.

How to calculate Area of a Rhombus when side and diagonals are given using this online calculator? To use this online calculator for Area of a Rhombus when side and diagonals are given, enter Diagonal A (da) and Side (s) and hit the calculate button. Here is how the Area of a Rhombus when side and diagonals are given calculation can be explained with given input values -> 43.22904 = (1/2)*(5)*(sqrt(4*9^2-(5)^2)).

FAQ

What is Area of a Rhombus when side and diagonals are given?
The area of a rhombus when side and diagonals are given can be defined as the amount of space enclosed by a rhombus in a two-dimensional space with given side and diagonals and is represented as A = (1/2)*(da)*(sqrt(4*s^2-(da)^2)) or area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)). Diagonal A is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape and The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Area of a Rhombus when side and diagonals are given?
The area of a rhombus when side and diagonals are given can be defined as the amount of space enclosed by a rhombus in a two-dimensional space with given side and diagonals is calculated using area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)). To calculate Area of a Rhombus when side and diagonals are given, you need Diagonal A (da) and Side (s). With our tool, you need to enter the respective value for Diagonal A and Side 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 A and Side. 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 = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
  • area = (3/2)*sqrt(3)*Side^2
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