Question

All the vertices of a rhombus lie on a circle. Find the area of the rhombus
if the area of the circle is 1256 cm“. [ Use = 3.14)​

Answer 1

Answer:

as it is a rombus and cyclic it becomes a square

area=8cm2

Step-by-step explanation:

3.14 xr^2=1256

r=2

d=4

2a^2=4^2

a^2=8

Answer 2

Answer: 1971.92 cm^2

We know that diagonal of a incircle rhombus is equal to its diameter.
(d^2 is diagonal’s square here)

Therefore,
Area of Rhombus = 1/2 x (diagonal)^2
=> 1256 = 1/2 x d^2
=> d^2 = 1256 x 2
=> d^2 = 2512
=> d = 4 √157 cm
Thus,
Radius,r = d/2 = 2 √157 cm

Area of circle = πr^2
= 3.14 x (2 √157)^2
= 3.14 x 4 x 157
= 12.56 x 157
= 1971.92 cm^2