# Circles Unit Test. Secondary Math II

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1 Circles Unit Test Secondary Math II

2 1. Which pair of circles described are congruent to each other? Circle M has a radius of 6 m; Circle N has a diameter of 10 m. Circle J has a circumference of in; Circle K has an area of. Circle U has an area of Circle V has a diameter of 4 cm. Circle E has a diameter of 11 ft; Circle F has a radius of 11 ft. 2. Five circles lie in five different planes but share the same center and radius. What term best describes the circles? congruent complementary concentric consistent 3. The radius of circle R is 7 inches and the diameter of circle K is 14 inches. What is the relationship between circle R and circle K? There is no relationship between them. They are similar circles. They are corresponding circles. They are congruent circles. 4. Which method is valid for proving that two circles are similar? Calculate the ratio of the diameter to the radius for each circle and show that they are equal. Calculate the ratio of degrees to the circumference for each circle and show that they are equal. Calculate the ratio of the area to the circumference for each circle and show that they are equal. Calculate the ratio of the diameter to the circumference for each circle and show that they are equal. 5. Which method is valid for proving that two circles are similar? Calculate the ratio of degrees to the area for each circle and show that they are equal. Calculate the ratio of degrees to the radius for each circle and show that they are equal. Calculate the ratio of the area to the diameter for each circle and show that they are equal. Calculate the ratio of radius to circumference for each circle and show that they are equal. 6. How many chords are drawn in Circle Q?

3 7. Which line segment is a chord of Circle C? 8. In the circles below, Which radii identify congruent circles? 3

4 9. Which of these angles is a central angle of the circle shown below? 10. Which segment is not a radius of Circle P? 4

5 11. In the circles below and Which radii identify congruent circles? and and and and 12. Name all chords that are drawn in Circle C. 5

6 13. Martin wants to inscribe a circle in scalene Triangle ABC. Which construction method can he use to find the center of the circle? construct the altitudes to and construct the angle bisectors of and construct the perpendicular bisectors of and construct the angle bisector of and the perpendicular bisector of 14. Circle D is inscribed in, as shown below. What is the perimeter of Three spheres of the same radius intersect one another at one point. Which of the following is a correct description of the spheres? skew and tangent skew and coincidental congruent and tangent congruent and coincidental 6

7 16. To play a marble game, Jana drew a circle and a line segment tangent to the circle on the sidewalk. Which of the following represents Jana s drawing? 7

8 17. The diameter of Circle P shown below is 3.5 inches. If Points A, B, C, D, and E are equally spaced, what is the approximate arc length from A to B? 15.4 inches 7.7 inches 4.4 inches 2.2 inches 18. In Circle C, the length of Arc RST is what fraction of the circumference? 8

9 19. The table below shows the number of students participating in various activities at a school. Student Participation Activity Number of Students Band 238 Athletics 332 Student Council 105 Clubs 400 Other 304 The school newspaper is presenting the data in an article using a circle graph, dividing the activities into sectors. If the graph is properly constructed, what is the measure of the central angle of the largest sector, to the nearest degree? What is the measure of the central angle formed by the beginning and ending positions of a second hand on a clock during a 13-second time interval? A circular stadium can seat up to 150,000 people. Which is closest to the maximum number of people that can sit in section A? 15,000 20,000 25,000 70,000 9

10 22. Isabella is making a color wheel like the one shown below to show 12 colors. If Isabella draws radii to produce equal sectors for each color, what will be the measure of x, the central angle for each sector? Sally is creating a flower bed that wraps around the corner of her house. She will put edging around the flower bed 10 feet from the corner of the house in all directions as shown below. Which is the best estimate of the number of feet of edging that Sally will need?

11 24. Charles cut a slice from a circular pizza with the diameter shown below. The slice has an arc length of 21.5 inches along the crust. What is the approximate measure of the central angle of the slice of pizza Charles cut? Which measurement is closest to the area of the shaded sector in the circle shown below? square inches square inches square inches square inches 11

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