If the difference between the circumference and the radius of a circle is 37 cm, then using $π = 227$ the circumference (in cm ) of the circle is:

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154 cm

44 cm

14 cm

7 cm

answer is B.

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Detailed Solution

Given that the difference between the circumference and the radius of a circle is 37 cm.
We have to find the circumference of the circle.
The circumference of a circle of radius r is

2 π r

.
The difference between the circumference and the radius of a circle is 37 cm.
So,

2 π r − r = 37 ⇒ r 2 π − 1 = 37 ⇒ r 2 × 227 − 1 = 37 ⇒ r 44 − 7 7 = 37

⇒ r = 37 × 7 37 ⇒ r = 7 cm

Therefore, the circumference of the circle, C is,

2 π r − 7 = 37 ⇒ 2 π r = 37 + 7 ∴ C = 44 cm

Therefore, the circumference of the circle is 44 cm.
Therefore, the correct option is 2.

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