Question

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

• A. 265∏ cm²
• B. 225∏ cm²
• C. 200∏ cm²
• D. 215∏ cm²

Answer 1

Answer:

B. 225∏ cm²

The area of a circle is proportional to the square of its radius.

Given:

• Radii ratio = (2:3)

• Smaller pizza area = $(100\pi\ \text{cm}^2)$

The ratio of the areas is:

$2^2:3^2 = 4:9$

So,

$\frac{\text{Larger area}}{\text{Smaller area}}=\frac{9}{4}$

Hence,

$\text{Larger area}=100\pi\times\frac{9}{4}=225\pi\ \text{cm}^2$

Answer:

$\boxed{225\pi\ \text{cm}^2}$