Question : The diameter of a circle is 42 cm. What is the difference between the lengths of the circumference and the radius of the circle? [Use $\left.\pi=\frac{22}{7}\right]$
Option 1: 98 cm
Option 2: 94 cm
Option 3: 111 cm
Option 4: 105 cm
Correct Answer: 111 cm
Solution :
The diameter of the circle is 42 cm, so the radius($r$) is half of the diameter, which is 21 cm.
The circumference ($C$) of a circle is, $C = 2\pi r$
Substituting the given values into the formula,
$C = 2 \times \frac{22}{7} \times 21 = 132$ cm
So, the difference between the lengths of the circumference and the radius of the circle
= $C - r$ = 132 – 21 = 111 cm
Hence, the correct answer is 111 cm.
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