The Learning Point‎ > ‎Mathematics‎ > ‎Rhombus‎ > ‎

### Area of Rhombus of side 413 and Geometric properties like symmetry,perimeter of rhombus,diagonals of rhombus Area of a rhombus with side 413 units and base angle 60 degrees = side x side x sine of baseAngle = 413 x 413 x 0.866 = 147712.754 square units Perimeter of a rhombus with side 413 units = 4 * side = 4 * 413 = 1652 units Length of the two Diagonals of a rhombus with side 413 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 413 * sine of 30.0 degrees and 2 * 413 * cosine of 30.0 degrees = 413.0 and 715.34 units Height of the Rhombus = Area of Rhombus / (length of side) = 357.66 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 408 units. Geometric Properties of a rhombus of side 409 units. Geometric Properties of a rhombus of side 410 units. Geometric Properties of a rhombus of side 411 units. Geometric Properties of a rhombus of side 412 units. Geometric Properties of a rhombus of side 413 units. Geometric Properties of a rhombus of side 414 units. Geometric Properties of a rhombus of side 415 units. Geometric Properties of a rhombus of side 416 units. Geometric Properties of a rhombus of side 417 units. Geometric Properties of a rhombus of side 418 units.