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Unit Conversion, SM-Bank 008

A circle has a radius of 60 centimetres.

Using the conversion ratio, 1 m² = 10 000 cm², or otherwise, calculate the exact area of the circle in square metres.  (2 marks)

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\(\ 0.36\pi\ \text{m}^{2}\)

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\(\text{Area}\) \(= \pi \times 60^{2}\)  
  \(=3600\pi\ \text{cm}^{2}\)  
  \(= \dfrac{3600}{10\ 000}\pi\ \text{m}^{2}\)  
  \(= 0.36\pi\ \text{m}^2 \)