07.04 A New Way to Measure Angles Questions 1-9 of 9 | Page 1 of 1 Question 1 (5 points) Here is a central angle that measures 1.5 radians. Select all true statements. 1.5 rad O a The radius is 1.5 times longer than the length of the arc defined by the angle. O b The length of the arc defined by the angle is 1.5 times longer than the radius. O c The ratio of arc length to radius is 1.5. O d The ratio of radius to arc length is 1.5. De The area of the whole circle is 1.5 times the area of the slice. Of The circumference of the whole circle is 1.5 times the length of the arc formed by the angle. Question 2 (10 points) Match the arc length I and radius r in Column A with the measure of the central angle of the arc in radians in Column B. Column A Column B r = 2, 1 = n/2 a. 0.75 radians 2. r = 3, 1 = 2 b. 2/3 radians 3. r = 3.5, 1 = 2.8 c. n/5 radians 4. r = 4, 1 = 3 d. n/4 radians 5. r = 5, 1 =n 0.8 radians Question 3 (5 points) Han thinks that since the arc length in circle A is longer, its central angle is longer. Do you agree with Han? Show or explain your reasoning. circle A circle B 6T 15 BIVENS'S In GQuestion 4 (5 points) Calculate the radian measure of a 30 degree angle. Use any method you like. Explain your reasoning 1 unit B IVES'S In Question 5 (5 points) Lin thinks that the central angle in circle A is congruent to the central angle in circle B. Do you agree with Lin? Explain your reasoning. circle A circle B 12 CA B IVES'S In Question 6 (5 points) Calculate the radian measure of a 225 degree angle. Use any method you like. Explain your reasoning. B IVES'SIn Question 7 (5 points)Question 7 (5 points) The image shows a circle with radius 5 units. If you were to draw a 180 degree central angle, what would be the length of the arc defined by this angle. 5 B IVES'S In Question 8 (5 points) The image shows a circle with radius 5 units. Use the arc length and the radius to calculate the radian measure of 180 degrees. 5 B IVES'S In Question 9 (5 points) The image shows a circle with radius 5 units. Calculate the radian measure of a 360 degree angle. Explain your reasoning. 5 BIUS'S In07.05 Radian Sense Questions 1-9 of 9 | Page 1 of 1 Question 1 (5 points) What is the degree measure of an angle that measures n/3 radians? BIUS'S In G Question 2 (10 points) Using the image below, match each diagram listed in Column A showing a sector with the measure of its central angle in radians from Column B. A D Column A Column B Diagram A a. n/3 2. Diagram B b. 3n/2 3. Diagram C c. 2n A Diagram D d. n/2 5. Diagram B 2. 2n/3 6. Diagram F Question 3 (5 points) What is the degree measure of an angle that measures 3n/4 radians? BIUS'S InQuestion 4 (5 points) What is the radian measure for a 45 degree angle? S' SQ Question 5 (5 points) What is the degree measure of an angle that measures 3 radians? BIU Question 6 (5 points) What is the radian measure for a 50 degree angle? BIUS'S, Question 7 (5 points) What is the degree measure of an angle that measures n/2 radians? BIVEE S' S; Question 8 (5 points) Angle AOC has a measure of 5n/6 radians. The length of the arc AB is 2n units and the radius is 12 units. What is the area of secto B 12 A BIUS'S,Question 9 (5 points) What is the radian measure for a 30 degree angle? BIUShort Answer: Radians vs. Degrees The wheels on a bicycle have a radius of 13 inches. The point 0 is the center of the wheel and a point P on the circle is chosen. After the wheel has moved forward a distance of d, the point P moves to a new point on a circle. marked Q. What is the relationship between the measure of an angle in degrees and its measure in radians