Question 1 (4 points) A circle of radius 12 units is divided into 8 congruent slices. What is the area of each slice? Question 2 (4 points) A circle has radius 4 units and a central angle measuring 45. What is the length of the arc defined by the central angle? B IVES'S In G Question 3 (4 points) Several circles with central angles are described. Select all the circles for which the central angle defines arcs that have length 6n units. a radius 6 units, central angle 180 O b radius 18 units, central angle 60 O c radius 12 units, central angle 90 O d radius 3 units, central angle 120* De radius 4 units, central angle 270 Question 4 (4 points) Clare is trying to explain how to find the area of a sector of a circle. She says, "First, you find the area of the whole circle. Then, you divide by radius." Do you agree with Clare? Explain or show your reasoning. BIUS'S In Question 5 (4 points) A circle with a shaded sector is shown. 2 50 What is the area of the shaded sector? Question 6 (4 points) Jada cuts out a rectangular piece of paper that measures 5 inches by 4 inches. Han cuts our a paper sector of a circle with radius 5 inches, an calculates the arc length to be 2n inches. Whose paper is larger? Show your reasoning. BIUS'S In Question 7 (4 points) A circle has radius 6 units. For an arc length of 10 units, find the area of a sector of this circle which defines this arc length. BIUS'S InQuestion 8 (4 points) A circle has radius 8 units, and a central angle is drawn in. The length of the arc defined by the central angle is 4n units. Find the area of the sector outlines by this arc. Record Answer Question 9 (4 points) Kiran cuts our a square piece of paper with side length 6 inches. Mai cuts our a paper sector of a circle with radius 6 inches, and calculates the arc length to be 4n inches. Whose paper is larger? Explain or show your reasoning. BIUS'S In Question 10 (4 points) A circle has radius 6 units. For an arc length of / units, find the area of a sector of this circle which defines this arc length. BIUS'S In Question 11 (4 points) Here are 2 circles. The smaller circle has radius r, circumference c, and diameter d. The larger circle has radius R, circumference C, and diameter D. The larger circle is dilation of the smaller circle by factor k. Using the circles, write 3 pairs of equivalent ratios. Find the value of each set of ratios you write. BIUS'S TO Question 12 (4 points) Circle B is a dilation of circle A. What is the length of the highlighted arc in circle B? circle A circle B 9 BIUS'S In Question 13 (4 points) Priya and Noah are riding different size Ferris wheels at a carnival. They started at the same time. The highlighted arcs show how far they have traveled. If the Ferris wheels will each complete 1 revolution, who do you think will finish first? Explain your response. Noah's Ferris wheel Priya's Ferris wheelQuestion 13 (4 points) Priya and Noah are riding different size Ferris wheels at a carnival. They started at the same time. The highlighted arcs show how far they have traveled. If the Ferris wheels will each complete 1 revolution, who do you think will finish first? Explain your response. Noah's Ferris wheel Priya's Ferris wheel 135 135 15 m 30 m BIUS'S IS Question 14 (4 points) Priya and Noah are riding different size Ferris wheels at a carnival. They started at the same time. The highlighted arcs show how far they have traveled. How far has Noah traveled? Noah's Ferris wheel Priya's Ferris wheel 135 135 15 m 30 m BIVES'S Question 15 (4 points) Circle B is a dilation of circle A. What is the ratio of the arc lengths? circle A circle B 9 BIUS'SQuestion 16 (4 points) Here is a central angle that measures 1.5 radians. Select all true statements. 1.5 rad a The radius is 1.5 times longer than the length of the arc defined by the angle. The length of the arc defined by the angle is 1.5 times longer than the radius. The ratio of arc length to radius is 1.5. 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 17 (4 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 BIUS'SIn Question 18 (4 points) The image shows a circle with radius 5 units. Calculate the radian measure of a 360 degree angle. Explain your reasoning. BIUS'SIn Question 19 (4 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. BIUS'S In Question 20 (4 points) Calculate the radian measure of a 225 degree angle. Use any method you like. Explain your reasoning.Question 22 (4 points) What is the radian measure for a 50 degree angle? BIU ES S' S, Question 23 (4 points) What is the degree measure of an angle that measures 3 radians? BIUS'S In Question 24 (4 points) What is the degree measure of an angle that measures 3n/4 radians? Question 25 (4 points) What is the degree measure of an angle that measures n/3 radians? BIVES S' S