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Circles, SM-Bank 035

Guerra slings a fire torch in a circle at the end of a 3 metre rope.
 

How far has the fire torch travelled after completing 15 circles?

Give your answer correct to the nearest whole number.  (2 marks)

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\(283\ \text{metres  (nearest whole number)}\)

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\(\text{Distance travelled in 1 revolution:}\)

\(C\) \(=2\pi r\)
  \(=2\times \pi\times 3\)
  \(= 18.8495\dots\)

 

\(\therefore\ \text{Distance travelled in }15\ \text{revolutions:}\)

\(=15\times 18.8495\dots\)

\(= 282.7433\dots\)

\(=283\ \text{metres  (nearest whole number)}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-15-Circumference

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