Question 8

If the difference between the circumference and radius of a circle is 37 cm, using $$\pi=22/7$$, what is the circumference (in cm) of the circle?

Solution

Circumference of circle = $$2\pi\ \left(r\right)$$ = $$\dfrac{\ 44}{7}\left(r\right)$$

So, the difference between Circumference and radius = $$\left(\frac{\ 44}{7}\left(r\right)-r\right)$$ = $$\dfrac{\ 37}{7}\left(r\right)$$.
It is given this difference as 37 cm in the question :
$$\dfrac{\ 37}{7}\left(r\right)$$ = 37
so, r = 7 cms.

Therefore , circumference = $$\dfrac{\ 44}{7}\left(r\right)$$ = $$\dfrac{\ 44}{7}\left(7\right)$$ = 44 cm.

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