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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Circles

Grade: 1400-a Lesson: S3-L1

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	What is the diameter of the circle in the xy-plane with equation \$(x-5)^2 + (y-3)^2 = 16\$	A) 16 B) 8 C) 6 D) 32
2	The radius of circle X is four times the radius of circle Y. If the sum of the circles circumferences is 48π, what is the radius of circle X?	A) 18.2 B) 17.8 C) 19.2 D) 15.6
3	A circle in the xy-plane has a diameter with endpoints(2,4) and (2,14).An equation of this circle is \$(x-2)^2 + (y-9)^2 = r^2\$,where r is a positive constant. What is the value of r?	A) 10 B) 25 C) 15 D)5
4	The center of a circle is located at the point (-3, 5) in the xy-coordinate plane. If the line y + x = 6 is tangent to the circle, what is the area of the circle?	A) \$8\pi\$ B) \$\sqrt8\pi\$ C) \$18\pi\$ D) \$\sqrt18\pi\$
5	Points A and B lie on a circle with a radius 1, and arc \$\overarc("AB")\$ has length \$\pi/3\$.What fraction of the circumference of the circle is the length of arc \$\overarc("AB")\$?	A) \$1/6\$ B) \$11/6\$ C) 6 D) \$16/1\$
6	A circle in the xy-plane has equation \$(x + 3)^2 + ( y - 1)^2 \$= 25. Which of the following points do NOT lie in the interior of the circle?	A) (3, 2) B) (-7, 3) C) (0, 0) D) (-3, 1)
7	The equation x²+(y - 2)² = 36 represents circle A. Circle B is obtained by shifting circle A down 4 units in the xy-plane. Which of the following equations represents circle B?	A) \$x^2 + (y + 2)^2 = 36\$ B) \$x^2 + (y - 2)^2 = 36\$ C) \$x^2 + (y + 6)^2 = 36\$ D) \$x^2 + (y + 2)^2 = 6\$
8	\$("x" - 6)^2 + ("y" + 5)^2 = 16\$ In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates(10, -5). If \$\bar{PQ}\$ is the diameter of the circle, what are the coordinates of point Q?	A) (-5, 2) B) (2, -5) C) (6, -5) D) (6, 1)
9	A circle has a center O, and points A and B lie on the circle. The measure of arc AB is 60°, and the length of arc AB is 4 inches.	A) 20 B) 8 C) 24 D) 14
10	A circle has a center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?	A) 44 B) 45 C) 48 D) 46

Problem Id

Problem

Options

What is the diameter of the circle in the xy-plane with equation \$(x-5)^2 + (y-3)^2 = 16\$

A) 16

B) 8

C) 6

D) 32

The radius of circle X is four times the radius of circle Y. If the sum of the circles circumferences is 48π, what is the radius of circle X?

A) 18.2

B) 17.8

C) 19.2

D) 15.6

A circle in the xy-plane has a diameter with endpoints(2,4) and (2,14).An equation of this circle is \$(x-2)^2 + (y-9)^2 = r^2\$,where r is a positive constant. What is the value of r?

A) 10

B) 25

C) 15

D)5

The center of a circle is located at the point (-3, 5) in the xy-coordinate plane. If the line y + x = 6 is tangent to the circle, what is the area of the circle?

A) \$8\pi\$

B) \$\sqrt8\pi\$

C) \$18\pi\$

D) \$\sqrt18\pi\$

Points A and B lie on a circle with a radius 1, and arc \$\overarc("AB")\$ has length \$\pi/3\$.What fraction of the circumference of the circle is the length of arc \$\overarc("AB")\$?

A) \$1/6\$

B) \$11/6\$

C) 6

D) \$16/1\$

A circle in the xy-plane has equation \$(x + 3)^2 + ( y - 1)^2 \$= 25. Which of the following points do NOT lie in the interior of the circle?

A) (3, 2)

B) (-7, 3)

C) (0, 0)

D) (-3, 1)

The equation x²+(y - 2)² = 36 represents circle A. Circle B is obtained by shifting circle A down 4 units in the xy-plane. Which of the following equations represents circle B?

A) \$x^2 + (y + 2)^2 = 36\$

B) \$x^2 + (y - 2)^2 = 36\$

C) \$x^2 + (y + 6)^2 = 36\$

D) \$x^2 + (y + 2)^2 = 6\$

\$("x" - 6)^2 + ("y" + 5)^2 = 16\$ In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates(10, -5). If \$\bar{PQ}\$ is the diameter of the circle, what are the coordinates of point Q?

A) (-5, 2)

B) (2, -5)

C) (6, -5)

D) (6, 1)

A circle has a center O, and points A and B lie on the circle. The measure of arc AB is 60°, and the length of arc AB is 4 inches.

A) 20

B) 8

C) 24

D) 14

A circle has a center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?

A) 44

B) 45

C) 48

D) 46