Question : The circumference of the two circles is 198 cm and 352 cm, respectively. What is the difference between their radii?
Option 1: 45 cm
Option 2: 16.5 cm
Option 3: 49.5 cm
Option 4: 24.5 cm
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Correct Answer: 24.5 cm
Solution :
Given, The circumference of the two circles is 198 cm and 352 cm, respectively.
Let the radii be $R$ and $r$, respectively.
So, $2\pi R-2\pi r=352-198$
⇒ $R-r= \frac{154\times7}{2\times 22}$
⇒ $R-r=\frac{49}{4}$
$\therefore R-r=24.5$ cm
Hence, the correct answer is 24.5 cm.
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