Question

All vertices of a rhombus lies on the circle. Find the area of the rhombus ,if the area of circle is 1256m²

Answer 1

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

Answer 2

Answer:

800cm²

Step-by-step explanation:

a rhombus would lie in circle only if all angles are 90 that is a square

than the diameter of circle equals to the diagonal length of square

for this question

given

πr² =1256

r≅20cm

that implies √2 x side of square =2 x r       (length of diagonal of square = √2 x side of square)

from here side of square =20√2

this implies area of square = area of rhombus = (20√2)²=800cm²