Two circular pizzas have radii in the ratio 2:3. If the smaller pizza has an area of 100π cm², what is the area of the larger pizza?

Correct option is B

Given :

Radii of two circular pizzas are in the ratio 2 : 3.
Area of the smaller pizza =$$100\pi \text{ cm}^2$$​​

Formula Used :
Area of a circle
A = $$\pi r^2$$​​
For circles, area ratio = (radius ratio)$$^2$$​​

Solution :

Radius ratio = 2:3

Area ratio = 2$$^2 : 3^2 = 4 : 9$$​​

Let area of smaller pizza = 4x

4x = 1$$00\pi$$​​
x = 2$$5\pi$$​​

Area of larger pizza
= 9x = $$9 \times 25\pi = 225\pi$$ cm²​
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