http://en.wikipedia.org/wiki/Terry_FoxEvery year on a Sunday in September, we celebrate Terry Fox Day. Millions of people across Canada run or walk in honour of Terry Fox. You are going to use your new knowledge of arc lengths to calculate a distance on a Terry Fox run path.The diagram below shows one community's route, around a small circular lake, for their Terry Fox Run. Starting at point A, then to B, around the lake on the arc to C, then to D, and then back to A over a bridge between A and D. (You might want to draw that out) Note that the distance from A to D is 10 km total.The circular lake has a diameter of 2.6 km. Points A and D are on opposite sides of the lake and lie on a straight line through the centre of the lake, with each point 5 km from the centre. In the route ABCD, AB and CD are tangents to the lake and BC is an arc along the shore of the lake. How long is this entire route? (round answer to the nearest tenth of a km)
