The Learning Point‎ > ‎Mathematics‎ > ‎Rhombus‎ > ‎

Area of Rhombus of side 423 and Geometric properties like symmetry,perimeter of rhombus,diagonals of rhombus

Area of a rhombus with side 423 units and base angle 30 degrees = side x side x sine of baseAngle = 423 x 423 x 0.5 = 89464.5 square units

Perimeter of a rhombus with side 423 units = 4 * side = 4 * 423 = 1692 units

Length of the two Diagonals of a rhombus with side 423 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 423 * sine of 15.0 degrees and 2 * 423 * cosine of 15.0 degrees = 218.96 and 817.17 units

Height of the Rhombus = Area of Rhombus / (length of side) = 211.5 units

The order of symmetry of a rhombus is 2 (number of times the shape co-incides with itself during a 360 degree rotation). The symmetry group is dihedral. And it is isotoxal or edge-transitive in nature, though these are concepts and details which some of you might encounter later.

The number of axes of symmetry of a rhombus is 2: the two diagonals

In general, there are multiple formulas to compute the area of rhombus. Depending on information available you may use either of them.

Area of a rhombus = (square of side) x sine(base Angle) = product of diagonals/2 = base x height


To understand more about the geometric features and properties of a rhombus, formulas related to mensuration etc. you might find it useful to read the properties of a Rhombus tutorial over here. Many of these concepts are a part of the Grade 9 and 10 Mathematics syllabus of the UK GCSE curriculum, Common Core Standards in the US, ICSE/CBSE syllabus in India. Many of these concepts are a part of the Grade 9 and 10 Mathematics syllabus of the UK GCSE curriculum, Common Core Standards in the US, ICSE/CBSE/SSC syllabus in Indian high schools. You may check out our free and printable worksheets for Common Core and GCSE.


Geometric Properties of a rhombus of side 418 units.



Geometric Properties of a rhombus of side 419 units.



Geometric Properties of a rhombus of side 420 units.



Geometric Properties of a rhombus of side 421 units.



Geometric Properties of a rhombus of side 422 units.



Geometric Properties of a rhombus of side 423 units.



Geometric Properties of a rhombus of side 424 units.



Geometric Properties of a rhombus of side 425 units.



Geometric Properties of a rhombus of side 426 units.



Geometric Properties of a rhombus of side 427 units.



Geometric Properties of a rhombus of side 428 units.




Comments