Question

# What is the diameter of a circle that has a circumference of $$42$$?

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 $$13.3613.36$$ (approx) cm.Mathematics

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