Circles EOC Assessment 15%


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1 MGSE912.G.C.1 1. Which of the following is false about circles? A. All circles are similar but not necessarily congruent. B. All circles have a common ratio of 3.14 C. If a circle is dilated with a scale factor of 2, it gets larger. D. If a circle is dilated with a scale factor less than one, it gets larger. 2. Circle P is dilated to form circle '. P Which statement is ALWAYS true? A. The radius of circle P is equal to the radius of circle '. P B. The length of any chord in circle P is greater than the length of any chord in circle '. P C. The diameter of circle P is greater than the diameter of circle '. P D. The ratio of the diameter to the circumference is the same for both circles. 3. In circle O, which term does not describe PR MGSE912.G.C.2 4. In circle O, angle QMP measures 41 degrees.
2 5. In the circle, FG and HJ are intersecting chords. P A. 15 Degrees B. 20 Degrees C. 40 Degrees D. 50 Degrees MGSE912.G.C.3 8. In order to circumscribe a circle on a triangle, which line must you construct? A. Median B. Altitude C. Angle Bisector D. Perpendicular Bisector 6. In the circle shown, BC in a diameter and arc AB is 120 degrees 7. Determine the measure of NOP. 9. In order to inscribe a circle in a triangle, which line must you construct? A. Median B. Altitude C. Angle Bisector D. Perpendicular Bisector
3 10. If the measure of BAD = 80, what is the measure of BCD? 13. Determine the area of the sector. A. 10 Degrees B. 40 Degrees C. 80 Degrees D. 10 Degrees MGSE912.G.C If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70? 14. In circle C shown below, find area of the minor sector shaded. 12. If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30?
4 a mm 2 b mm 2 c mm 2 d mm Circle E is shown. How many square feet of the yard will be lit by the flood light? A. 1,177.5 square feet B. 2,826 square feet C square feet D square feet MGSE912.G.GPE A student used this equation to graph a circle. What is the length of CD? a. b. c. d. 72 yd yd. yd. yd. 16. A flood light in a storage yard spreads light over a distance of 30 feet and is set to rotate through an angle of 150 o. The student then translated the circle 2 units up and 1 unit to the left. What is the equation of the translated circle? A) B) C) D) 18. This equation represents a circle that has been graphed on a coordinate plane. What ordered pair represents the center of the circle? A) B)
5 C) D) A) The circle is centered at and has a radius of 12 units. B) The circle is centered at and has a radius of 12 units. C) The circle is centered at and has a radius of 144 units. D) The circle is centered at and has a radius of 144 units. 19. A student made this graph of a circle. 21. The equations of two circles are shown below. What must be true about the value of k in order for represent a circle? to Which equation represents the circle? A) B) C) D) 20. This equation represents a circle. Which statement about the graph of the circle is correct? A) 3 B) 12 C) 16 D) Which point is on a circle with a center of (3, 9) and a radius of 5? A. ( 6, 5) B. ( 1, 6) C. (1, 6) D. (6, 5)
6 23. Which is an equation for the circle with a center at ( 2, 3) and a radius of 3? A. x 2 + y 2 + 4x 6y + 22 = 0 B. 2x 2 + 2y 2 + 3x 3y + 4 = 0 C. x 2 + y 2 + 4x 6y + 4 = 0 D. 3x 2 + 3y 2 + 4x 6y + 4 = What is the center of the circle given by the equation x 2 + y 2 10x 11 = 0? A. (5, 0) B. (0, 5) C. ( 5, 0) D. (0, 5) 25. If the endpoints of the diameter of a circle are ( 14, 4) and ( 2, 0), what is the standard form equation of the circle?
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