Question
Sun January 01, 2012 By:
 

All the vertexes of rhombus lie on a circle. Find the area of rhombus if the area of circle is 1256 cm².

Expert Reply
Sun January 01, 2012
If all the vertices of rhombus lie on circle then it must be a square.
Now area of circle  = 1256
So, (pi)r2 = 1256
      3.14r2 = 1256
          r2 =  400
            r = 20 cm
Diameter of circle = 40 cm
Here, the diagonals are equal and must be the diametre of circle,
that is both diagonals are 40 cm
Thus area of rhombus = (1/2)d1d2 = (1/2)(40)(40) = 800 cm2 
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