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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Circles

Grade: 1300-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	In the xy-plane, a circle with radius 5 has a center (-8, 6). Which of the following is the circle’s equation?	A) \$(x - 8)^2 + (y - 6)^2 = 25\$ B) \$(x + 8)^2 + (y - 6)^2 = 25\$ C) \$(x + 8)^2 + (y + 6)^2 = 5\$ D) \$(x - 8)^2 + (y - 6)^2 = 5\$
2	A pizza with a diameter of 8 inches is cut and separated into four slices. What is the perimeter of all four slices?	A) 32 + 4π B) 32 + 16π C) 32 + 8π D) 32 + 18π
3	If the area of a circle with a radius of 10 inches is decreased by 64 square inches to form a smaller circle, by how many inches will the radius have decreased?	A) w B) 2 C) 6 D) 4
4	A circle O has radius 8,angle XOY measures \$5/16 \pi\$radians.What is the measure of minor arc XY?	A) \$5/2 π\$ radians B) \$2/5 π\$ radians C) \$5/2\$ radians D) \$4/5 π\$ radians
5	Point 0 is the center of the circle above. If the area of the entire circle is 64π. What is the area of the shaded region? $5$	A) 12π B) 13π C) 14π D) 15π
6	In the figure above, 0 is the center of the circle and OM is a radius. If the measure of angle OMN is 30°, then the length of minor arc MN is what fraction of the circumference of circle 0? $6$	A) \$1/3\$ B) \$1/2\$ C) \$3/2\$ D) \$4/6\$
7	In the figure above, \$\bar(AB) = 6\$ and \$\bar(BC)\$ is a diameter of the circle with center 0. What is the area of the shaded region? $7$	A) \$6π = 9√3\$ B) \$6π = √3\$ C) \$36π = 3√3\$ D) \$36π = 18√3\$
8	The number of radians in a 720° angle can be written as απ, where a is a constant. What is the value of a?	A) 5 B) 4 C) 6 D) 7
9	An angle has a measure of \$16\pi/15\$ radians. What is the measure of the angle, in degrees?	A) 199° B) 195° C) 192° D) 129°
10	In the xy-plane above, points P, Q, R, and Tlie on the circle with center O. The degree measures of angles POQ and ROT are each 30°. What is the radian measure of angle QOR? $10$	A) \$(1\pi)/3\$ B) \$(5\pi)/6\$ C) \$(3\pi)/4\$ D) \$(2\pi)/3\$

Problem Id

Problem

Options

In the xy-plane, a circle with radius 5 has a center (-8, 6). Which of the following is the circle’s equation?

A) \$(x - 8)^2 + (y - 6)^2 = 25\$

B) \$(x + 8)^2 + (y - 6)^2 = 25\$

C) \$(x + 8)^2 + (y + 6)^2 = 5\$

D) \$(x - 8)^2 + (y - 6)^2 = 5\$

A pizza with a diameter of 8 inches is cut and separated into four slices. What is the perimeter of all four slices?

A) 32 + 4π

B) 32 + 16π

C) 32 + 8π

D) 32 + 18π

If the area of a circle with a radius of 10 inches is decreased by 64 square inches to form a smaller circle, by how many inches will the radius have decreased?

A) w

B) 2

C) 6

D) 4

A circle O has radius 8,angle XOY measures \$5/16 \pi\$radians.What is the measure of minor arc XY?

A) \$5/2 π\$ radians

B) \$2/5 π\$ radians

C) \$5/2\$ radians

D) \$4/5 π\$ radians

Point 0 is the center of the circle above. If the area of the entire circle is 64π. What is the area of the shaded region? $5$

A) 12π

B) 13π

C) 14π

D) 15π

In the figure above, 0 is the center of the circle and OM is a radius. If the measure of angle OMN is 30°, then the length of minor arc MN is what fraction of the circumference of circle 0? $6$

A) \$1/3\$

B) \$1/2\$

C) \$3/2\$

D) \$4/6\$

In the figure above, \$\bar(AB) = 6\$ and \$\bar(BC)\$ is a diameter of the circle with center 0. What is the area of the shaded region?

$7$

A) \$6π = 9√3\$

B) \$6π = √3\$

C) \$36π = 3√3\$

D) \$36π = 18√3\$

The number of radians in a 720° angle can be written as απ, where a is a constant. What is the value of a?

A) 5

B) 4

C) 6

D) 7

An angle has a measure of \$16\pi/15\$ radians. What is the measure of the angle, in degrees?

A) 199°

B) 195°

C) 192°

D) 129°

In the xy-plane above, points P, Q, R, and Tlie on the circle with center O. The degree measures of angles POQ and ROT are each 30°. What is the radian measure of angle QOR?

$10$

A) \$(1\pi)/3\$

B) \$(5\pi)/6\$

C) \$(3\pi)/4\$

D) \$(2\pi)/3\$