1) [20] eratosthenes, a greek mathematician suggested the earth is mound carly 2300 years ago and measured its circumference by observing the sun. they noted that at the city of syene (point a in figure 1) the sun passes directly overhead on the summer solstice on the other hand, in the city of alexandria (point b) they noted that the sun came within 7 of being overhead on the same day. they also know the distance between the two cities to be 800 kilometers a) with these facts, determine what value the greeks obtained for the circumference of the earth to do this, you need to figure out what part of a 360-degree circle they walked is first. show work. the figured is not needed to solve this, but to visualize it. try using ratios b) now figure out what we know the circumference of earth to be today, using the known radius of 6,371 km, remembering circumference 2 - c) how close was eratosthenes? give you answer in a % hint: use figuere i to visualize the angles involved and remember a full circle has 360° figure 1