Question : The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?
Option 1: 70 cm
Option 2: 15 cm
Option 3: 46 cm
Option 4: 35 cm
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Correct Answer: 35 cm
Solution :
The circumference of the two circles is 110 cm and 330 cm respectively.
Circumference of circle A = 110 cm
⇒ $2\pi r{_A} = 110$
⇒ $r{_A} = \frac{110\times 7}{2\times22} = \frac{35}{2}\mathrm{cm}$
Circumference of circle B = 330 cm
⇒ $2\pi r{_B} = 330$
⇒ $r{_A} = \frac{330\times 7}{2\times22} = \frac{105}{2}\ \mathrm{cm}$
⇒ Difference = $\frac{105}{2} - \frac{35}{2} = \frac{70}{2} = 35\ \mathrm{cm}$
Hence, the correct answer is 35 cm.
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