MATH-G Circles Task Cards Exam not valid for Paper Pencil Test Sessions [Exam ID:YL6VSY 1 Chords MA and TH intersect forming segments with the measures shown. What is the value of x? A 40 B 5 C 20 D 8 2 What is the value of x? A 15.7 B 7.7 C 2.6 D 1.5
3 If AP = 8 and PC = 4, what is the measure of AB, the diameter of this circle? A 2 B 6 C 8 D 4 4 Given: Circle J What is the value of y? A 38 B 50 C 88 D 92
5 Todd is planning a circular garden. The garden will be sectioned off for different plants. Todd is cutting the dividers for the garden. The dividers have the following measurements: AO = 6 ft, DO = 8 ft, and CO = 4 ft. What is the length of divider OB? A 8 ft B 16 ft C 10 ft D 12 ft 6 Chords AB and CD intersect, forming segments with the measures shown. What is the value of x? A 5 B 8 C 10 D 24
7 The sum of and is equal to A B C 120 D 8 Chords WP and KZ intersect at point L in the circle shown. What is the length of KZ? A 7.5 B 9 C 10 D 12
9 The figure shows a circle. m RPQ = 50 and m PRQ = 60 What is the measure of A 100 B 70 C 140 D 120 10 A pizza has a diameter of 16 inches. Which is closest to the area of one slice if the pizza is divided into 6 equal pieces? A 134.1 sq in. B 117.1 sq in. C 67.2 sq in. D 33.5 sq in. 11 The spokes on a wagon wheel form twelve congruent central angles. What is the degree measure of A 90 B 120 C 150 D 30
12 The minute hand on a clock is 10 centimeters long and travels through an arc of 108 every 18 minutes. Which measure is closest to the length of the arc the minute hand travels through during this 18-minute period? A 3 cm B 6 cm C 9.4 cm D 18.8 cm 13 In circle O, the degree measure of is 280. What is the degree measure of POR? A 85 B 160 C 40 D 80
14 The circumference of circle C is 144π A 8π B 16π C 96π D 48π 15 Regular pentagon ABCDE is inscribed in circle P. What is the measure of arc CD? A 72 B 60 C 36 D 108
16 An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70 to determine the length of railing needed for the balcony. Which is closest to the length of railing needed for the curved section of the balcony? A 24 ft B 49 ft C 251 ft D 977 ft 17 A 180 B 90 C 135 D 45
18 What is the m ADC? A 77 B 46 C 80 D 23 19 TW is a diameter of circle X, and TW is parallel to UV. If the measure of is 25, what is the degree measure of? A 210 B 130 C 155 D 115 20 Which point lies on the circle represented by the equation (x - 1) 2 + (y - 3) 2 = 7 2? A (-1, 4) B (0, 7) C (1, 3) D (8, 3)
21 The equation (x - 1) 2 + (y - 3) 2 = r 2 represents circle A. The point B (4, 7) lies on the circle. What is r, the length of the radius of a circle A? A 13 B 5 C 5 5 D 137 22 TV is a diameter of circle Z. What is the value of x? A 10 B 6 C 8 D 4 23 If is a diameter of circle P, what is m LMO? A 45 B 80 C 90 D 30
24 Katie has come upon a 6.25 ft puddle in the middle of the street and she knows that her car is 5.5 feet wide. If Katie was told that the tangent from the edge of the street to the circle is 7.5 feet, what is the width of the path (x ) between the puddle and the edge of the street? A 4.5 ft B 5 ft C 5.5 ft D 4 ft 25 In the diagram, AB is tangent to the circle at point A, and BD intersects the circle at points C and D. What is the value of x? A 3 B 4 C 6 D 5
26 If m AOB = 45 in circle O, what is m ACB? A 67.5 B 22.5 C 90 D 45 27 A strawberry cake is cut into three pieces. The arc measures of all three pieces are congruent. What is the measure of angle XZY? A 240 B 120 C 40 D 60
28 Given: Circle P with center at (-4, 1) Which equation could represent circle P? A (x - 4) 2 + (y - 1) 2 = 41 B (x - 4) 2 + (y + 1) 2 = 41 C (x + 4) 2 + (y - 1) 2 = 41 D (x + 4) 2 + (y + 1) 2 = 41 29 Penny is going to make a cake for a customer. She only has a triangular space left in the refrigerator. From the back corner of the space, the cake will need to sit 8 inches to the front and 12 inches to the side as shown in the drawing. What is the maximum radius the cake can have in order to fit in the triangular space? A 10 in B 8.5 in C 17 in D 5 in
30 Katie drops one of her plates and cracks it. The crack creates a central angle with an arc length of 7 inches. If the circumference of the plate is 35 inches, what is the measure of the central angle created by the crack? A 14 B 51 C 72 D 7 31 Paul needs to finish drawing the eye on the face in his poster. He has been given the measurements below, but needs to find the value of x to properly place the eye. What is the value of x? A 1 in B 6 in C 4 in D 3 in
32 Directions: Click on a box to choose each statement you want to select. You must select all true statements. A tree has a measured circumference of 15 inches in 2010. The tree grows ½ inch in diameter each year. In 2012, two round stationary bars are drilled into the tree, as illustrated below. Identify all true statements. The bars drilled into the tree are intersecting tangents. The angle Ɵ will remain constant as the tree expands. If Ɵ = 30 then the minor arc AB in 2012 will be approximately 3 inches. Sometime during 2012, the circumference will be exactly 16 inches. It will take more than 10 years for the circumference to double. The radius will double when the diameter doubles. 33 At a birthday party, Keisha split a pizza that has a diameter of 14 inches into 8 equal pieces. What is the approximate area of each slice? A 22 in 2 B 19.2 in 2 C 2.7 in 2 D 76.9 in 2
34 Find the length of arc AB when the diameter of circle C is 10 inches. 25π A in 9 B 2600π in 125π C in 9 D 20π in 35 Debbie s Pizza Shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat? A 3.2π in 2 B 6.4π in 2 C 51.2π in 2 D 12.8π in 2
36 Peter is landscaping a neighbor's circular flower garden. He has one last section of the garden that needs to be filled with stone. How many feet of stone will Peter need to fill this section of the garden? A 53.38 ft 2 B 345.40 ft 2 C 106.76 ft 2 D 452.16 ft 2 37 The area of the shaded sector of circle O is A 50π B 20π C 5π D 25π
38 Given: Circle P Which is closest to the area of the shaded sector of circle P? A 11 cm 2 B 28 cm 2 C 50 cm 2 D 78 cm 2 39 In the circle, what is the measure of ABC? A 60º B 140º C 120º D 30º
40 Two chords intersect with the measures shown in the drawing. What is the value of x? A 10.0 B 9.5 C 14.5 D 8.0 41 What is m DAR in circle A? A 34º B 68º C 17º D 56º
42 Rodrigo planted flowers in a section of a circular garden as shown. Which is closest to the area of this section of the garden? A 118 sq ft B 82 sq ft C 29 sq ft D 18 sq ft 43 Write the equation for a circle that has a center at (2, 3) and a point on the circle at (6, 0). A (2 - x ) 2 - (3 - y ) 2 = 25 B (x - 2) 2 + (y - 3) 2 = 25 C (x - 2) 2 + (y - 3) 2 = 5 D (x + 2) 2 -(y + 3) 2 = 25 44 Directions: Click on a box to choose each equation you want to select. You must select all correct equations. Identify each equation that represents a circle with a diameter length of 16. (x + 8) 2 + (y + 8) 2 = 16 (x - 16) 2 + (y - 16) 2 = 8 (x + 4) 2 + (y + 4) 2 = 16 (x - 2) 2 + (y + 8) 2 = 64 (x - 1) 2 + (y + 2) 2 = 64 45 Directions: Click on a box to choose each point you want to select. You must select all correct points. A circle is defined by the equation (x - 4) 2 + y 2 = 9. Identify each point that lies on the circle. (-5, 0) (4, 3) (4, 9) (1, 0) (7, 0) (4, -3) (13, 0) (4, -9)
46 What is the length of the radius and the coordinates of the center of the circle defined by the equation x 2 + (y + 3) 2 = 36? A Center = (0, 3); radius = 6 B Center = (0, 3); radius = 36 C Center = (0, -3); radius = 6 D Center = (0, -3); radius = 36 47 Directions: Type your answer in the box. The equation for circle P is 3x 2-12x + 3y 2 + 18y = 69. What is the radius of circle P? radius = 48 Directions: Click and drag the answers to the correct box. The equation of circle T is 3x 2 + 6x + 3y 2-18y = 9. Complete the statements for circle T below. (-1, 3) 13 49 Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O? A (-6, -5) B (-2, -2) C (6, 4) D (8, 8)
50 Directions: Type your answer in the box. Identify the coordinates of the center of the circle by the equation (x + 4) 2 + (y - 5) 2 = 3 2. Place comma between coordinates. ( )