If the difference between the circumference and the radius of a circle is 37 cm, then using $\pi = \frac{22}{7}$, the ci

Question

If the difference between the circumference and the radius of a circle is 37 cm, then using $\pi = \frac{22}{7}$, the circumference of the circle is:

Accepted Answer

Given $2\pi r - r = 37 \Rightarrow r(2\pi - 1) = 37 \Rightarrow r \left(2 	imes \frac{22}{7} - 1ight) = 37 \Rightarrow r \left(\frac{44}{7} - 1ight) = 37 \Rightarrow r \left(\frac{37}{7}ight) = 37 \Rightarrow r = 7$ cm. Circumference $= 2\pi r = 2 	imes \frac{22}{7} 	imes 7 = 44$ cm.

Areas Related to Circles

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