Question

the ratio of area of a circle to the area of semicircle is

Answer 1

It is in the ratio 2:1 of area of circle to the area of semi cicle ( if the radius is of same lenght ).

Let the radius is R then area of circle = πR^2 & area of semi circle = πR^2/2, the required ratio is πR^2 : πR^2/22 : 1

Answer 2

Answer: 2:1

Step-by-step explanation:

Consider radius 'r' is same for both circle and semicircle then

The area of circle =$\pi r^2$

The area of semicircle=$\frac{1}{2}\pi r^2$

Now, the ratio of area of circle and semicircle with same radius will be

$\frac{\text{area of circle}}{\text{ area of semicircle}}=\frac{\pi r^2}{\frac{1}{2}\pi r^2}=\frac{2}{1}$

Thus, the ratio of area of a circle to the area of semicircle is 2:1.