Question

all the verticals of a rhombus lie on a circle find the area of Rhombus if the area of the circle is 1256 CM square (π=3.14)​

Answer 1

Answer:

If all the Vertices of a Rhombus Lies on the circle, then it must be a square.,

If th area of a given circle is 1258.

Then,

$\pi {r}^{2} = 1256 {cm}^{2}$

As \pi = 3.14

It means

3.14r² = 1256cm²

r² = 400cm²

r = 20cm

Now the Diameter of the circle is must equal to the diagonal of the Given Rhombus.,

Diagonal of rhombus (or it must be square ) = 40cm

Now by using pythagoras., we get the side of a square.,

(Diagonal)² = (Side)² + (Side)²

We know all the sides of Square is equal.

1600 = side² + side²

1600 = 2*side²

800 = side²

We know that the area of a square is Side²

Hence the area is 800cm² (having each side = 28.294cm )