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Area of Rhombus of side 460 and Geometric properties like symmetry,perimeter of rhombus,diagonals of rhombus

Area of a rhombus with side 460 units and base angle 45 degrees = side x side x sine of baseAngle = 460 x 460 x 0.7071 = 149622.36 square units

Perimeter of a rhombus with side 460 units = 4 * side = 4 * 460 = 1840 units

Length of the two Diagonals of a rhombus with side 460 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 460 * sine of 22.5 degrees and 2 * 460 * cosine of 22.5 degrees = 352.07 and 849.97 units

Height of the Rhombus = Area of Rhombus / (length of side) = 325.27 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 455 units.



Geometric Properties of a rhombus of side 456 units.



Geometric Properties of a rhombus of side 457 units.



Geometric Properties of a rhombus of side 458 units.



Geometric Properties of a rhombus of side 459 units.



Geometric Properties of a rhombus of side 460 units.



Geometric Properties of a rhombus of side 461 units.



Geometric Properties of a rhombus of side 462 units.



Geometric Properties of a rhombus of side 463 units.



Geometric Properties of a rhombus of side 464 units.



Geometric Properties of a rhombus of side 465 units.




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