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Area of Circles Theory
![\begin{minipage}{8cm} The area of a circle is given by $$ A=\pi r^2 $$ where \(r\) is the radius and \(\pi \approx 3.14159\) \;(5dp) \end{minipage}\\ \begin{multicols}{2} \textbf{Example 1}\\ Find the exact area of a circle with radius \(7 \text{~cm}\).\\ \textbf{Example 1 solution}\\[3pt] \(\begin{aligned} & A=\pi r^2 \\ & A=\pi \times 7^2 \\ & A=49 \pi \text{ cm}^2 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Find the approximate area of a circle (to 2 decimal places) with a diameter of \(12 \text{~cm}\).\\ \textbf{Example 2 solution}\\ \(\begin{aligned} d&=2 r \\ 12&=2 r \rightarrow r=6 \text{~cm} \end{aligned}\)\\ \(\begin{aligned} A & =\pi \times 6^2 \\ & =36 \pi \\ & =113.10 \text{~cm}^2 \end{aligned}\) \end{multicols}](/media/1l1haclk/7962.png)
NSW Y8 Maths Area and Perimeter Area of Circles
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Area of Circles - Video - Area of Circles 1
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