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All the vertexes of rhombus lie on a circle. Find the area of rhombus if the area of circle is 1256 cmÂ².
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If all the vertices of rhombus lie on circle then it must be a square.
Now area of circle = 1256
So, (pi)r^{2} = 1256
3.14r^{2} = 1256
r^{2} = 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)d_{1}d_{2} = (1/2)(40)(40) = 800 cm^{2}
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