Question: This is a sample project before my real one. Please do it so I know how to do the real one. Thanks!!! 1. How many

This is a sample project before my real one. Please do it so I know how to do the real one. Thanks!!!

This is a sample project before my real one. Please do itso I know how to do the real one. Thanks!!! 1. Howmany (complete) times were you able to fit the pieces of candyaround the circle? (3 points) 2. Express the number of times youcould fit the candy as a: (3 points) Mixed number: Improper fraction:

1. How many (complete) times were you able to fit the pieces of candy around the circle? (3 points) 2. Express the number of times you could fit the candy as a: (3 points) Mixed number: Improper fraction: Improper fraction in simplest form: Decimal: 3. Do any of the numbers from question 2 look familiar in terms of what you know about circles and radians? Explain your answer. (4 points)5. How many radians are in one circle? (4 points) 6. Calculate how many degrees are in one radian. Measure the size of each radian with your protractor. What did you get? (4 points) 7. Consider the distance around a circle. What is thisdistance called and what is the formula for finding this distance? (3 points) 8. How does that relate to what we just discovered about radians? Is there a relationship between the circumference of a circle and its radius? Explain your answer. (5 points)Before you get started, gather the following materials: . bag of small, circular candy (M&M's or Skittles) . pencil compass . ruler . blank sheet of paper . protractor2. Express the number of times you could fit the candy as a: (3 points) Mixed number: Improper fraction: Improper fraction in simplest form: Decimal: 3. Do any of the numbers from question 2 look familiar in terms of what you know about circles and radians? Explain your answer. (4 points) 4. How many pieces of candy fit into the small segment of the circumference that was remaining? (2 points) 5. How many radians are in one circle? (4 points)Directions: Carefully follow the steps shown here. When you are finished, answer the questions on the next page. 1. Choose 7 pieces of candy, and place them in a row, side by side so they are all touching each other on the paper. This will represent the radius of your circle. 2. Use the ruler to draw the radius. (Make sure that you have enough space on your paper to form a circle - this may require taping paper together.) 3. Use the compass to draw your circle with the radius that you just discovered. 4. Center the circle on an x-y coordinate plane with the origin located at the center of your circle (where your radius starts) by drawing an x and y-axis. Remember your x-axis and y-axis must be perpendicular (form a 90 degree angle) to one another and should extend past the edge of your circle. I 5. Now, starting where the edge of your circle meets the positive x-axis, place your 7 pieces of candy around the outside of the circle, making sure that the diameter of each piece of candy is sitting directly on the circle. 6. Next, make a mark on the circle at each endpoint of the 7 pieces. This distance is ONE RADIAN. 7. Now, using your straightedge, draw a line back to the center of the circle from where you stopped (making a central angle). 8. Then start again from that point. Continue until you can no longer fit the candy on the circle. 9. Take a picture of your work

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