1. Fifteen people each want a piece of the delicious apple pie you just finished baking. You want to be fair and prefer to give each person the same size slice. How will you go about making each of your slices the same size? Relate your answer to sector area.
2. Tina and Ben are playing a game using this spinner.
What number are they most likely to get on their spin? If each of the sector areas is congruent, what is the central angle measurement for each sector? What portion of the spinner circumference is marked off by sections labeled 3?
3. An equilateral triangle is inscribed in a circle that is inscribed in a square. Find the area of the circle. If this figure were a target, what would be the probability of landing in the circle? What would be the probability of landing outside of the circle? What portion of the area of the circle does the triangle account for?
4. Given the following bullseye, determine the probability of landing in each ring. What is the probability of getting a bullseye? How would you describe the three circles that create the bullseye? Why?
5. Given an outside each of a broken plate, devise a method to locate where the center of the plate was located before the plate was broken. Under what circumstances might this skill prove useful?
6. Determine whether the area of sector AFE or the area of sector BFC is greater. Justify your answer. Which triangle (pink or yellow) do you believe has the larger area? Why?
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