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| Refer to the figure below to answer the first eight questions. |
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| For responses that require non-keyboard symbols, the answers should be expressed in the following written form. |
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| 1) Define a circle. |
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| 3) Name an example of each of the following: (a) a chord, (b) a diameter, and (c) a radius. |
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| 4) Name an example of each of the following: (a) a minor arc, (b) a major arc, and (c) a semicircle. |
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| 6) Select the point that is located on circle P. |
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| 7) Select the point that is located in the interior of circle P. |
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| 8) Select the point that is located in the exterior of circle P. |
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| 9) The length of the diameter of a circle is equal to the length of _______ radii. |
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| 10) The analogy below is read “Perimeter is to polygon as circumference is to circle.” Explain how the perimeter of a polygon is similar to the circumference of a circle. |
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| 11) Which unit of measurement is appropriate for circumference? |
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| Print out the chart below (right-click / print picture). Complete the following activity and record the results in the chart. Refer to the completed chart to answer the next question. |
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| Activity: Find three circular objects in your home. (1) What is the circumference of each object measured to the nearest millimeter? (You can approximate the measure of the circumference of a circular object by laying a string around the object, and then extending the string out linearly to measure its length with a ruler.) (2) What is the length of the diameter of each object measured to the nearest millimeter? (3) What is the value of the circumference divided by the diameter? |
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| 12) Compare the results of the data that you collected in the previous activity with the formula shown below. Does your data support the formula? Please explain. |
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| 16) Solve the formula shown below for “d”, and then answer the following questions: (a) If given the circumference of a circle, explain how to find the diameter. (b) If the circumference of a circle is 57 centimeters, what is the length of the diameter to the nearest whole centimeter? |
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| 17) Solve the formula shown below for “r”, and then answer the following questions: (a) If given the circumference of a circle, explain how to find the radius. (b) If the circumference of a circle is 1000 millimeters, what is the length of the radius to the nearest whole millimeter? |
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| 18) Agnes is preparing her flower bed which is circular in shape. She is going to cover the bed with peat moss and put a white fencing around it. She will need to compute the circumference for which improvement? |
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| For the next four questions, fill in the blank with the best term that completes the statement. |
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| Refer to the information and the figure shown below to solve the next two problems. |
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| Refer to the information and the figure shown below to solve the next three problems. Round the answers to the nearest hundredth of a millimeter, if necessary. |
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| Constructing a Circle Graph |
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| Print out and complete the table shown below. Draw a circle graph to represent the results of the survey. Round the percents to the nearest tenth of a percent. Round the angles to the nearest whole degree. Refer to the completed table and the circle graph to answer the next five questions. |
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| 30) What fractional parts represent the survey results for (a) the Boston terrier, (b) the Beagle, (c) the German shepherd, and (d) Other? |
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| 31) What angle sizes represent the survey results for (a) the Boston terrier, (b) the Beagle, (c) the German shepherd, and (d) Other? |
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| 35) If you were to display this data in a different type of graph, which type would you choose? Of the two types, circle graph and your other choice, which type do you think is most effective for displaying the data? Explain why. |
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| 41) What is the value of "x"? Give a reason to support your answer. |
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| 42) Angles 1 and 3 are congruent vertical angles; yet, it is obvious that arcs AB and CD are NOT congruent. How could the figure be changed so that the angles would remain congruent and the arcs would also be congruent? |
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| 43) Refer to the information and the figure shown below to solve for “x”, and then answer the following: Which two arcs have the same measure and what are their measures? |
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| 45) Write a paragraph proof for the figure and information given below. (Hint: Show that the triangles are congruent by proving that the triangles’ sides are congruent (SSS postulate). |
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| 46) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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