Question

# Find the diameter of the circle whose circumference is $$42\ cm$$.

Solution

## Given: The circumference of the circle is $$42$$ cm.Let the radius and diameter of the circle are $$r$$ and $$d$$, respectively.We know that, Circumference $$= 2\pi r$$$$\therefore 2\pi r=42$$$$\Rightarrow 2\left ( \dfrac{22}{7} \right ) r=42$$ $$\Rightarrow r = \dfrac{147}{22} \approx 6.68$$ cmSince, the diameter of the circle is twice of it radius.$$\therefore d=2r$$$$\Rightarrow d =2\left ( \dfrac{147}{22} \right ) = \dfrac{147}{11} \approx 13.36$$ Thus, the diameter of the given circle is $$\dfrac{147}{11}$$ cm or $$13.36$$ (approx) cm.Mathematics

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