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Quiz At Home

Title: Circles

Grade Lesson s2-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

Id	Name	Note
1	An angle has a measure of \$9π/20\$ radians. What is the measure of the angle in degrees?	A) 80 B) 88 C) 83 D) 81
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	$5$ 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?	A) 125 degree B) 72 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	$7$ The shaded region has an area of π. What is the radius of circle 0?	A) 7 B) 4 C) 5 D) 3
8	$8$ 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?	A) 30 B) 40 C) 20 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

Name

Note

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

A) 80

B) 88

C) 83

D) 81

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°

$5$

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?

A) 125 degree

B) 72 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

$7$

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

A) 7

B) 4

C) 5

D) 3

$8$

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?

A) 30

B) 40

C) 20

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