2. Audience Grades 9-10 Geometry Students Students are learning about the area and volume of circles and spheres. Wealthy community

3. Environment Student should complete individually Computer lab or a classroom with a computer Student should not be bothered until the student has completed the program Student will need a scientific calculator

4. Objectives 1.Given a diagram of a circle, students should be able to compute the circumference, radius, diameter, and area correctly. 2.Given a diagram of a sphere, students should be able to compute the volume and surface area correctly.

5. = go on / next page = go back / previous page = help video = menu page Help! = helper / hints

6. Area Radius Circumference Volume Diameter Quiz Take the quiz after visiting all topics. Click on a planet to learn about the topic! Surface Area

7. Surface Area is the amount it would take to cover the outer region, or shell, of a sphere.

8. The formula for the Surface Area of a sphere is 4  r 2. r = radius This is similar to the formula for Area just with a 4 in front.

9. Practice your understanding. Find the Surface Area of the Sun. 1,934,881,000,000  km 2 2,782,000  km 2 695,500  km 2 483,720,250,000  km 2 A A B B C C D D 1,391,000km Hint: The formula for SA is 4  r 2 Try Again! Correct! Try Again!

10. Click on the play button to see how to do the problem.

11. Area is the amount of space that fills a circle. For instance, it’s going to take so many square inches of coloring to fill this circle.

12. The equation for the Area of a circle is  r 2. r = radius

13. Practice your understanding. Find the Area of Venus. 12,103.6  km 2 110.016  km 2 146,497,132.96  km 2 585,988,531.84  km 2 A A B B C C D D 12,103.6km Hint: The Area of a circle is  r 2. Try Again! Correct! Try Again!

14. Click on the play button to see how to do the problem.

15. Radius is used for almost every equation with a circular or spherical shape.

16. Radius is the length from the outside of a circle or sphere to the centermost point.

17. Practice your understanding. Find the Radius of Earth. 12,756.2km 6,378.1km 12,756.2  km 6,378  km A A B B C C D D Hint: The Radius is half of the diameter. 12,756.2km Try Again! Correct! Try Again!

18. Click on the play button to see how to do the problem.

19. Diameter is used alternatively in almost every circular or spherical formula.

20. Diameter is the length across the circle or sphere.

21. Practice your understanding. Find the Diameter of Neptune. 24,764  km 24,764km 49,528  km 49,528km A A B B C C D D Hint: The Diameter is twice the length of the radius. 24,764km Try Again! Correct!

22. Click on the play button to see how to do the problem.

23. Circumference is the measurement of the entire outer length of a circle.

24. The formula for the circumference of a circle is 2  r or d . d = diameter

25. Practice your understanding. Find the Circumference of Jupiter. 142,984km 71,492  km 142,984  km 71,492km A A B B C C D D Hint: The formula for Circumference is d . 142,984km Try Again! Correct! Try Again!

26. Click on the play button to see how to do the problem.

27. Volume is the measurement of space that can fill a sphere.

28. The formula for the Volume of a sphere is 4/3  r 3. r = radius

29. Practice your understanding. Find the Volume of Saturn. 291,876,463,425,110  km 3 218,907,347,568,832  km 3 2,335,011,707,400,900  km 3 1,751,258,780,550,656  km 3 A A B B C C D D Hint: The formula for Volume of a sphere is 4/3  r 3. 120,536km Try Again! Correct! Try Again!

30. Click on the play button to see how to do the problem.

31. Quiz Time! Now you’ll take a short six question quiz on all of the topics we just covered. Good Luck!

32. 1. Find the radius of Venus. A A B B C C D D 24,207.2km 12,103.6km 24,207.2  km 12,103.6  km 24,207.2km

33. Great Job! You answered correctly.

34. Bummer… You answered incorrectly. Try Again! This is the diameter.

35. Bummer… You answered incorrectly. Try Again! Radius doesn’t have pi in it.

36. 2. Find the diameter of Jupiter. A A B B C C D D 142,984  km 71,492km 71,492  km 142,984km 71,492km

37. Awesome! You answered correctly.

38. Wrong… You answered incorrectly. Try Again! This is the radius.

39. Wrong… You answered incorrectly. Try Again! Diameter doesn’t have pi in it.

40. 3. Find the circumference of Earth. A A B B C C D D 12,756.2km 6,378.1km 6,378.1  km 12,756.2  km 6,378.1km

41. Good Job! You answered correctly.

42. That’s not right… You answered incorrectly. Try Again! You must multiply the radius by two.

43. That’s not right… You answered incorrectly. Try Again! You must multiply by pi.

44. 4. Find the area of Neptune. A A B B C C D D 49,528  km 2 613,255,696  km 2 24,764  km 2 2,453,022,784  km 2 49,528km

45. Stupendous! You answered correctly.

46. Incorrect… You answered incorrectly. Try Again! You must square the radius.

47. Incorrect… You answered incorrectly. Try Again! You must divide the diameter in half, then square it.

48. 5. Find the surface area of Saturn. A A B B C C D D 241,072  km 2 482,144  km 2 58,115,709,184  km 2 14,528,927,296  km 2 120,536km

49. Fantastic! You answered correctly.

50. Incorrect… You answered incorrectly. Try Again! You must square the radius, then multiply by 4.

51. 6. Find the volume of the Sun. A A B B C C D D 3,588,559,294,666,700,000  km 3 336,427,433,875,000,000  km 3 448,569,911,833,330,000  km 3 2,691,419,471,000,000,000,  km 3 1,391,000km

52. Not Quite… You answered incorrectly. Try Again! You must cube the radius, then multiply by 4/3.

53. Marvelous! You answered correctly. You are done with this program. You may practice this program again, by pressing the menu button, or quit, by clicking anywhere.