4 Take a long piece of light colored string and any circular object Your object

# 4 take a long piece of light colored string and any

This preview shows page 80 - 82 out of 156 pages. Journeys in Film : Hidden Figures 8. Out of all the planets that orbit the sun, Venus has an orbit that is closest to a perfect circle. On average, Venus is 0.723 AU from the sun. Venus takes about 225 Earth days to orbit the sun. What is the average speed of Venus in its orbit, in AU per day? In meters per second? 9. Draw a diagram that shows how the inside of a circle can be approximated by a large number of triangles, each with one corner at the center of the circle. If you increase the number of triangles, what happens to the area of each triangle? Does the approximation get better, worse, or stay the same? Why? 10. One way to calculate the area of a circle is to use the formula . Explain why this formula works. 11. Another way to calculate the area of a circle is to use the formula . Explain why this formula works. 12. What is the area enclosed by the orbit of Venus, in square AU? In square meters? (This may seem like a silly thing to calculate, but, as you’ll find out soon, Johannes Kepler figured out that it’s not actually all that silly.) Handout 2 p . 2 Lesson 5 (MATHEMATICS) Problems on Conic Sections 5. Half the number of radiuses around a circle is called by the Greek letter , which has the symbol . It is pronounced “pie” by English speakers, as in pecan pie or apple pie, and is spelled “pi.” Using methods that definitely do not involve string or scissors, many people have calculated to much higher accuracy than 3.14. Look up some of the methods people have used over the years to calculate approximations of . (Just for fun, this site has a million digits of : . The world record for memorizing digits of is over 70,000 digits which took over 17 hours to recite.) 6.  #### You've reached the end of your free preview.

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• Winter '17
• Mrs. Manternach
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