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A clock has an hour hand of length 4cm, a minute hand of length 5.5 cm and a second hand of length 6 cm. How

A clock has an hour hand of length 4cm, a minute hand of length 5.5 cm and a second hand of length 6 cm. How quickly is the area of the quadrilateral formed by the centre of the clock and the tips of the three clock hands changing at exactly 2:55? Explain your reasoning using a diagram if you think this would be useful.

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