Question

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

Answer 1

Answer:

Step-by-step explanation:

$\huge{\sf{\pink{Required \ Answer :-}}}$

Let us first know the area of a circle formula.

Area of a Circle = $\sf{ \pi \times r^2}$

That is the area for a full circle. Let us consider it as equation number 1.

Now, moving on further, we can see that :-

We need the area of a semi circle now. What is a semicircle?

It is actually 1/2 of a full circle.

Now, we can multiply 1/2 with equation 1.

$\sf{\dfrac{1}{2} \times \pi \times r^2}$

Now, the ratio will be as follows :-

$\sf{\dfrac{ \pi \times r^2}{\dfrac{1}{2} \times \pi \times r^2}$

Pi gets cancelled, r² gets cancelled.

So, the required answer is 2:1.

Answer 2

Answer:

2 : 1 is the required ratio.

Step-by-step explanation:

Area of circle = πr²

Area of semi-circle = Area of circle/2

Area of semi-circle = πr²/2

Ratio of the area of circle to area of semi-circle :-

πr² : πr²/2

πr²/(πr²/2) (πr², πr² gets cancelled)

2/1 = 2 : 1

∴ The ratio of the area of circle to the area of semi-circle is 2 : 1