SaiBook.us SAT-1

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	An angle has a measure of \$(9π)/20\$ radians. What is the measure of the angle in degrees?	A) 80 B) 81 C) 83 D) 88
2	In the xy-plane, a circle with radius 6 has center (8, -6). Which of the following is an equation of the circle?	A) \$(x - 8)^2 + (y - 6)^2 = 36\$ B) \$(x + 8)^2 + (y + 6)^2 = 36\$ C) \$(x - 8)^2 + (y + 6)^2 = 36\$ D) \$(x-8)^2 + (y + 6)^2 = 6\$
3	A circle in the xy-plane has its center at (-4, 5) and the point (-8, 8) lies on the circle. Which equation represents this circle?	A) \$(x + 4)^2 + (y + 5)^2\$ = 5 B) \$(x + 4)^2 + (y − 5)^2\$ = 5 C) \$(x + 4)^2 + (y + 5)^2\$ = 25 D) \$(x + 4)^2 + (y − 5)^2\$ = 25
4	Triangle A BC is inscribed in the circle above. Arc \$\overarc(AB)\$ is congruent to arc \$\overarc(BC)\$. What is the measure of \$\angle B\$? $4$	A) 100° B) 90° C) 110° D) 101°
5	In the figure above, the circle has a center of 0 and a radius of 5. If the length of minor arc PQ is 2π, what is the value of x? $5$	A) 72 degree B) 125 degree C) 70 degree D) 74 degree
6	In the figure above, point 0 is the center of the circle and segments JL and KL are tangent to the circle at points J and K, respectively. If the radius of the circle is 5, what is the length of arc JK(shown in bold)? $6$	A) 6π B) 12π C) 18π D) 5π
7	The shaded region has an area of π. What is the radius of circle 0? $7$	A) 3 B) 4 C) 5 D) 7
8	A regular pentagon is inscribed in the circle above. If the circumference of the circle is 100, what is the length of minor arc AD? $8$	A) 30 B) 20 C) 40 D) 80
9	In a circle with center 0, the central angle COD has a measure of \$7π/8\$ radians. The length of minor arc COD is what fraction of the circumference of the circle?	A) \$7/4\$ B) \$16/7\$ C) \$7/16\$ D) \$5/16\$
10	The number of radians in a 360° angle can be written as απ, where a is a constant. What is the value of a?	A) 8 B) 3 C) 4 D) 2

Problem Id

Problem

Options

An angle has a measure of \$(9π)/20\$ radians. What is the measure of the angle in degrees?

A) 80

B) 81

C) 83

D) 88

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

A) \$(x - 8)^2 + (y - 6)^2 = 36\$

B) \$(x + 8)^2 + (y + 6)^2 = 36\$

C) \$(x - 8)^2 + (y + 6)^2 = 36\$

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

A circle in the xy-plane has its center at (-4, 5) and the point (-8, 8) lies on the circle. Which equation represents this circle?

A) \$(x + 4)^2 + (y + 5)^2\$ = 5

B) \$(x + 4)^2 + (y − 5)^2\$ = 5

C) \$(x + 4)^2 + (y + 5)^2\$ = 25

D) \$(x + 4)^2 + (y − 5)^2\$ = 25

Triangle A BC is inscribed in the circle above. Arc \$\overarc(AB)\$ is congruent to arc \$\overarc(BC)\$. What is the measure of \$\angle B\$?

$4$

A) 100°

B) 90°

C) 110°

D) 101°

In the figure above, the circle has a center of 0 and a radius of 5. If the length of minor arc PQ is 2π, what is the value of x? $5$

A) 72 degree

B) 125 degree

C) 70 degree

D) 74 degree

In the figure above, point 0 is the center of the circle and segments JL and KL are tangent to the circle at points J and K, respectively. If the radius of the circle is 5, what is the length of arc JK(shown in bold)?

$6$

A) 6π

B) 12π

C) 18π

D) 5π

The shaded region has an area of π. What is the radius of circle 0?

$7$

A) 3

B) 4

C) 5

D) 7

A regular pentagon is inscribed in the circle above. If the circumference of the circle is 100, what is the length of minor arc AD? $8$

A) 30

B) 20

C) 40

D) 80

In a circle with center 0, the central angle COD has a measure of \$7π/8\$ radians. The length of minor arc COD is what fraction of the circumference of the circle?

A) \$7/4\$

B) \$16/7\$

C) \$7/16\$

D) \$5/16\$

The number of radians in a 360° angle can be written as απ, where a is a constant. What is the value of a?

A) 8

B) 3

C) 4

D) 2