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NSW Y8 Maths Area and Perimeter Circumference of a Circle

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Circumference of a Circle Theory

Let the circumference of a circle be \(C\). $$ \therefore C=\pi D \text { or } C=2 \pi r $$ where \(D\) is the diameter and \(r\) is the radius. $$ \pi \approx 3.14159 \quad(5 \text{ dp}). $$ \begin{multicols}{2} \textbf{Example 1}\\ Find the exact circumference of a circle with\\ diameter \(4 \text{~cm}\).\\ \textbf{Example 1 solution}\\ \(\begin{aligned} C&=\pi D \\ C&=\pi \times 4 \\ \therefore C&=4 \pi \text{ cm} . \end{aligned}\) \columnbreak \textbf{Example 2}\\ Find the circumference of a circle to two decimal places if the radius is \(2 \text{~cm}\).\\ \textbf{Example 2 solution}\\ \(\begin{aligned} C & =2 \pi r \\ & =2 \times 3.14159 \times 2 \\ & =12.56636 \\ & =12.57 \text{~cm} . \end{aligned}\) \end{multicols}

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