Question

All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if area of the circle is 2464 cm

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

given that, area of circle is 1256cm²

πr² =1256

put π=3.14 now, r²=1256/3.14

r²=400 : r=20

now, diagonal of rhombus : 2r : 2(20)=40cm

area of rhombus : 1/2*d1*d2

1/2*(40)(40)

800 cm²