(Solved): = 5 marks (Total for question Q83. The diagram shows a circular pond, of radius r metres, surrounde ...

= 5 marks (Total for question Q83. The diagram shows a circular pond, of radius r metres, surrounded by a circular path. The circular path has a constant width of 1.5 metres. Diagram NOT accurately drawn rm 1.5 m The area of the path is 1 10 the area of the pond. (a) Show that 2²-60r-45 = 0 (b) Calculate the area of the pond. Show your working clearly. Give your answer correct to 3 significant figures. (3) m² (5)