AnswersOC27 GEO-1206310-S2-Degele-VOL7006PChapter 10 Part 2 Unit TEST: Circles

Chapter 10 Part 2 Unit TEST: Circles Answers

0 verified answers
1
Free Preview

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
2
Free Preview

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

Question illustration
A
12
Option A
B
24
Option B
C
120
Option C
D
144
Option D
3

Angle D is a circumscribed angle of circle O.

Question illustration
A
17 units
B
23 units
C
27 units
D
60 units
4

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

A
The radius of the circle is 3 units.
B
The center of the circle lies on the x-axis.
C
The center of the circle lies on the y-axis.
D
The standard form of the equation is (x – 1)² + y² = 3.
E
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
5

Which statements about circle O are true? Select three options.

A
The radius of circle O is 13.
B
The diameter of circle O is 34.
C
LP is a diameter of circle O.
D
∠LMP intercepts a semicircle.
E
The measure of arc LP is 90°.
6

A point is on a circle if the distance from the center of the circle to the point is equal to the

A
area.
B
circumference.
C
radius.
D
diameter.
7

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Question illustration
A
37°
B
53°
C
74°
D
106°
8

What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

A
2 units
B
4 units
C
8 units
D
16 units
9

Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Question illustration
A
10
Option A
B
16
Option B
C
356
Option C
D
676
Option D
10

Line segment ON is perpendicular to line segment ML.

Question illustration
A
1 unit
B
2 units
C
3 units
D
4 units
11

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

A
(x + 4)2 + (y + 3)2 = 2
B
(x – 4)2 + (y – 3)2 = 2
C
(x – 4)2 + (y – 3)2 = 2²
D
(x + 4)2 + (y + 3)2 = 2²
12

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

Question illustration
A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
13

On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.

Question illustration
A
(x – 4)2 + (y – 5)2 = 2
B
(x – 4)2 + (y – 5)2 = 4
C
(x – 5)2 + (y – 4)2 = 2
D
(x – 5)2 + (y – 4)2 = 4
14

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

A
7
Option A
B
14
Option B
C
28
Option C
D
49
Option D
15

2 smaller circles are within a larger circle. The smallest circle has radius D C. Line segment C B is the distance to the rim of the next circle. Line segment B A is the distance to the rim to the next circle.

Question illustration
A
80
Option A
B
96
Option B
C
208
Option C
D
464
Option D
16

Which statements are true about circle Q? Select three options.

A
The ratio of the measure of central angle PQR to the measure of the entire circle is .
Option A
B
The area of the shaded sector is 4 units2.
C
The area of the shaded sector depends on the length of the radius.
D
The area of the shaded sector depends on the area of the circle.
E
The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.
17

Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.

Question illustration
A
40°
B
50°
C
80°
D
90°
18

A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.

A
No. The flowerbed is 18 feet away from the sprinkler, which is more than the 7-foot radius.
B
Yes. The flowerbed is exactly 7 feet away from the sprinkler.
C
No. The flowerbed is 9 feet away from the sprinkler, which is more than the 7-foot radius.
D
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.
19

Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.x2 + y2 + 6x + 4y – 3 = 0x2 + 6x + y2 + 4y – 3 = 0(x2 + 6x) + (y2 + 4y) = 3(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4

A
(x – 3)2 + (y – 2)2 = 42, so the center is (3, 2).
B
(x + 3)2 + (y + 2)2 = 42, so the center is (3, 2).
C
(x – 3)2 + (y – 2)2 = 42, so the center is (–3, –2).
D
(x + 3)2 + (y + 2)2 = 42, so the center is (–3, –2).
20

Which statements about the arcs and angles are true? Select three options.

A
∠EFD ≅ ∠EGD
B
∠EGD ≅ ∠ECD
C
Arc E D is-congruent-to arc F D
Option C
D
m = 60°
Option D
E
m = 120°
Option E

Did you find these answers helpful?

More from this Course

Quiz
25 verified answers

Unit Test

Quiz
27 verified answers

Chapter 12 Unit TEST: Surface Area and Volume

Quiz
23 verified answers

Unit Test