Question : The difference between the circumferences of the two circles is 4.4 cm and the radius of the smaller circle is 1.4 cm. The radius of the larger circle is:
Option 1: 4.1 cm
Option 2: 0.7 cm
Option 3: 2.1 cm
Option 4: 3.5 cm
Correct Answer: 2.1 cm
Solution :
The circumference of a circle is given by the formula $C = 2\pi r$, where $r$ is the radius of the circle.
Let $R$ be the radius of the larger circle.
According to the question,
$2\pi R - 2\pi (1.4) = 4.4$
$⇒2\pi (R - 1.4) = 4.4$
$⇒ R - 1.4 = 0.7$
$⇒ R = 2.1$
Hence, the correct answer is 2.1 cm.
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