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Unit Conversion, SM-Bank 006

Athletes throw shot puts from a shot put circle with a standard diameter of 2.13 metres.

Using the conversion ratio, 1 m² = 10 000 cm², or otherwise, calculate the area of a shot put circle to the nearest square centimetres.  (3 marks)

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\(8\ \text{cm}^{2}\)

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\(\text{Radius}\ = \dfrac{2.13}{2} = 1.065\ \text{m}\)

\(\text{Area}\) \(= \pi \times 1.065^{2}\)  
  \(=3.56327… \text{m}^{2}\)  
  \(=3.56327… \times 10\ 000\ \text{cm}^{2}\)  
  \(=35\ 633\ \text{cm}^2\ \ (\text{nearest cm}^2) \)