Two circular plates have radii in the ratio 3:5. If the smaller plate has an area of 108 cm², what is the area of the larger plate?

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Accepted Answer

1. Radii ratio is 3:5. Area scales as the square of radii. So area ratio is $3^2:5^2=9:25$.

2. The smaller plate (9 parts) has area $108\ 	ext{cm}^2$.

3. One part = $108/9=12$.

4. Larger plate = $25$ parts = $25	imes12=300\ 	ext{cm}^2$.

FINAL_ANSWER: b

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