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Question
If the difference between the circumference and radius of a circle is 37 cm, then using π = \[\frac{22}{7}\] the circumference (in cm) of the circle is
Options
154
44
14
7
Solution
We know that circumference; C of the circle with radius r is equal to`2pir`.
We have given difference between circumference and radius of the circle that is 37 cm.
`∴ C-r=2pir-r`
`∴(2pi-1)r=37`
Substituting `pi=22/7 ` we get,
`∴ (2xx22/7-1)r=37`
`∴ ((44-7)/7)r=37`
`∴(37/7)r=37`
Dividing both sides of the equation by 7/37, we get, `∴r=7`
Therefore, circumference of the circle will be
\[2\pi r = 2 \times \frac{22}{7} \times 7\]
\[ = 44 {cm}^2\]
Hence, the correct choice is (b).
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