Question

All the four vertices of a rhombus are on a circle of area 2826 cm^2. Find the area of rhombus (pi=3.14)

Answer 1

Next similar questionQ)

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

A)

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Solution :

Area of the circle is πr2=1256

=> r2=12563.14

r2=400

∴r=20

Hence the diameter =40

Since all the vertices lie on the circle, the diameter of the circle is the diagonal of the Rhombus.

since both the diagonals are equal , it is a square.

Hence the area of the rhombus is 12d1d2

=12×20×20

=200cm2