The Learning Point‎ > ‎Mathematics‎ > ‎Rhombus‎ > ‎

Area of Rhombus of side 64 and Geometric properties like symmetry,perimeter of rhombus,diagonals of rhombus

Area of a rhombus with side 64 units and base angle 45 degrees = side x side x sine of baseAngle = 64 x 64 x 0.7071 = 2896.2816 square units

Perimeter of a rhombus with side 64 units = 4 * side = 4 * 64 = 256 units

Length of the two Diagonals of a rhombus with side 64 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 64 * sine of 22.5 degrees and 2 * 64 * cosine of 22.5 degrees = 48.98 and 118.26 units

Height of the Rhombus = Area of Rhombus / (length of side) = 45.25 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 59 units.



Geometric Properties of a rhombus of side 60 units.



Geometric Properties of a rhombus of side 61 units.



Geometric Properties of a rhombus of side 62 units.



Geometric Properties of a rhombus of side 63 units.



Geometric Properties of a rhombus of side 64 units.



Geometric Properties of a rhombus of side 65 units.



Geometric Properties of a rhombus of side 66 units.



Geometric Properties of a rhombus of side 67 units.



Geometric Properties of a rhombus of side 68 units.



Geometric Properties of a rhombus of side 69 units.




Comments