Question : The circumference of the two circles is 308 cm and 440 cm, respectively. What is the difference between their radii?
Option 1: 21 cm
Option 2: 49 cm
Option 3: 35 cm
Option 4: 14 cm
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Correct Answer: 21 cm
Solution :
Let the radius of the first circle be $r_1$.
Circumference of the first circle $=2\pi r{_1}$
⇒ $308 = 2×\frac{22}{7}×r{_1}$
⇒ $r_1$
= 49 cm
Let the radius of the 2nd circle be $r_2$.
Circumference of the 2nd circle $=2\pi r{_2}$
⇒ $440 = 2×\frac{22}{7}×r{_2}$
⇒ $r_2$ = 70 cm
$\therefore$ Difference = (70 – 49) cm = 21 cm
Hence, the correct answer is 21 cm.
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