The annual yachting regatta of the Mathematical Club is to take place on Lake Tetrahedra. Starting at the marina (which can be considered to be coordinate point (0,0)), the yachts are to travel around six buoys located at various positions on the lake.
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Students are given hints about the location of each of the six buoys placed on the lake. They need to determine the coordinate position of each of the six buoys and sketch them on the coordinate axes, then find the equation of each line segment joining the buoys and the total distance of the race. The Commodore’s motor launch breaks down at coordinate point (4,8). Will this interfere with the paths taken by the yachts? Explain, using mathematical reasoning. The patrol motor boat needs to travel along the circular path just outside the paths of the racing yachts. The final task is to find the equation of the circle for the motor boat.
