07.01 Arcs and Sectors Questions 1-9 of 9 | Page 1 of 1 Question 1 (5 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? BIUS'SIn Question 2 (5 points) Diego says, "To find arc length, divide the measure of the central angle by 360. The multiply that by the area of the circle." Do you agree with Diego? Show or explain your reasoning BIUS'S In Question 3 (5 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 the radius." Do you agree with Clare? Explain or show your reasoning. BIUS'S In Question 4 (5 points) A circle with a shaded sector is shown. 2 50 What is the area of the shaded sector?Question 5 (5 points) Select all the sectors which have an area of 3n square units. Ja a sector with a radius of 6 units and a central angle of 30 Ub a sector with a radius of 6 units and a central angle of 45 c a sector with a radius of 3 units and a central angle of 60 O d a sector with a radius of 3 units and a central angle of 120 Je a sector with a radius of 3 units and a central angle of 180* Question 6 (5 points) A circle of radius 12 units is divided into 8 congruent slices. What is the area of each slice? Question 7 (5 points) Several circles with central angles are described. Select all the circles for which the central angle defines arcs that have length on units. a radius 6 units, central angle 180 b radius 18 units, central angle 60 O c radius 12 units, central angle 90 O d radius 3 units, central angle 120 radius 4 units, central angle 270 Question 8 (5 points) A circle of radius 12 units is divided into 8 congruent slices. What is the arc length of each slice? Question 9 (10 points) Suppose a circle is divided into congruent slices. Math each number of slices from Column A with the resulting central angle measure of each slice from Column B. Column A Column B 2 a. 90 3 b. 450 2 4 c. 180 4 5 d. 720 5. e. 12007.02 Part to Whole Questions 1-10 of 10 | Page 1 of 1 Question 1 (5 points) A circle has radius 10 centimeters. Suppose an arc on the circle has length 8n centimeters. What is the measure of the central angle whose radii define the arc? BIUS'S In G Question 2 (5 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. TO Question 3 (5 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. Question 4 (5 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.Question 5 (5 points) A circle has radius 6 units. For an arc length of 4n units, find the area of a sector of this circle which defines this arc length. BIUS'SIn Question 6 (5 points) ada 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, and calculates the arc length to be 2n inches. Whose paper is larger? Show your reasoning Question 7 (5 points) Select all the sectors which have an area of 3n square units. 0 a a sector with a radius of 6 units and a central angle of 30 a sector with a radius of 6 units and a central angle of 45 a sector with a radius of 3 units and a central angle of 60 a sector with a radius of 3 units and a central angle of 120 a sector with a radius of 3 units and a central angle of 180* Question 8 (5 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 9 (5 points) A circle has radius 6 units. For an arc length of 5n units, find the area of a sector of this circle which defines this arc length.Question 10 (5 points) A circle has radius 3 centimeters. Suppose an arc on the circle has length 4n centimeters. What is the measure of the central angle whose radii define the arc? BIU ...A.... ......07.03 Angles, Arcs, and Radii Questions 1-10 of 10 | Page 1 of 1 Question 1 (10 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'SIn G Question 2 (5 points) Tyler is confident that all circles are similar, but he cannot explain why this is true. Help Tyler explain why all circles are similar. BIUS'S In Question 3 (4 points) Circle B is a dilation of circle A. What is the scale factor of dilation? circle A circle BQuestion 414 pciinls} Circle B is a dilation of circle A. What is die length of the highlighted arc in circle A? circle A circle B Question 514 pciinls} Circle B is a dilation of circle A. What is die lengd1 of the highlighted arc in circle B? circle A circle B Question 6 (4 points) Circle B is a dilation of circle A. What is the ratio of the arc lengths? circle A Circle B 3 9 BI U E E S' ST Question 7 (4 points) Circle B is a dilation of circle A. How does the ratio of arc length compare to the scale factor? circle A circle B 9 BIUS'S QT Question 8 (5 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 1350Question 8 (5 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 1350 15 m 30 m BIVE S'ST n Question 9 (5 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 Priya traveled? Noah's Ferris wheel Priya's Ferris wheel 135 1350 15 m 30 m BIUS'S n n Question 10 (5 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 10 (5 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 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 15 m 30 m