Q18 of 46 Page 1

All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if the area of the circle is 1256 cm2. (use π = 3.14)


In rhombus, AB = BC = CD = AD


Let the radius of circle be r.


Then AC = AO + OC = r + r = 2r


And BD = BO + OD = r + r = 2r


Now


Area of circle = πr2 = 1256 [ Given]


…[1]



Area of given rhombus = 2(400) = 800 cm2 [By 1]


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