MATH-G
ERM - Circles Review Practice
Exam not valid for Paper Pencil Test Sessions
1
In circle P , m∠
∠ ADB is 25°. What is the m∠
∠ APB ?
A 40°
B 65°
C 25°
D 50°
2
Δ ABC and Δ DEF are equilateral triangles inscribed in circle O . What is the measure of A 120°
B 240°
C 180°
D 60°
[Exam ID:047B0V
3
Directions: Click on a box to choose a statement you want to select. You must select all correct statements.
Given circle O, identify the true statements.
∠ ROS = 86°
∠ ROT = 130°
∠ RTS = 43°
∠ TRW = 98°
∠ SOT = 144°
∠ RWT = 130°
4
Given: Circle W W( -4, 6) Radius = 10 units Which point lies on circle W?
A (6, 16)
B (4, 0)
C (0, 4)
D (2, 10)
5
Peter is landscaping a neighbor's circular flower garden. He has one last section of the garden that needs to be filled with stone. How many feet of stone will Peter need to fill this section of the garden?
A 106.76 ft2
B 345.40 ft2
C 53.38 ft2
D 452.16 ft2
6
If the endpoints of a circle's diameter are at (-5, 6) and (3, -7), what is the length of the radius rounded to the nearest tenth?
A 15.3
B 13.2
C 8.1
D 7.6
7
Given: BA = 6 feet BC = 4 feet. What is the length of CD ?
A
B
C
D
5 feet
10 feet
9 feet
20 feet
8
If the endpoints of a circle's diameter are at (5, 2) and (17, 18), what is the length of the radius?
A 11 units
B 10 units
C 21 units
D 20 units
9
Directions: Click on a box to choose each equation you want to select. You must select all correct equations.
Identify each equation that represents a circle with a diameter length of 16.
(x - 2)2 + (y + 8)2 = 64
(x - 16)2 + (y - 16)2 = 8
(x - 1)2 + (y + 2)2 = 64
(x + 4)2 + (y + 4)2 = 16
(x + 8)2 + (y + 8)2 = 16
10 Write an equation for a circle that has a center at (–8, –5) and a point on the circle at (–1, 1).
A (x + 8)2 + (y + 5)2 = -85
B (x - 8)2 + (y - 5)2 = 85
C (x + 8)2 + (y + 5)2 = 85
D (x + 8)2 + (y - 5)2 = 85
11 Directions: Type your answer in the box.
The circle shown below has a center at Point A where the measure of ∠
∠ DAC = 150° and radius AC = 6 cm. What is the area of the shaded Sector X, to the nearest whole number?
cm2
12 Sam is given a photo of a motorcycle. The diameter of the wheel is 24 inches and the central angle ABC is 40 degrees. What is the approximate area of sector ABC ?
A 4 sq in.
B 50 sq in.
C 240 sq in.
D 201 sq in.
13 Chords MA and TH intersect forming segments with the measures shown. What is the value of x ?
A 40
B 8
C 20
D 5
14 Directions: Click on a box to choose each statement you want to select. You must select all correct statements.
A circular shaped tree has a measured circumference of 25 inches in 2010. The tree grows 1 inch in diameter each year afterwards and maintains the circular shape. In 2012, an arc is permanently etched into a portion of the tree’s circumference, as illustrated below. As the tree expands, the etched arc expands with it. Identify all true statements.
By 2018 the radius will have more than doubled since 2010.
By 2027 the diameter will have more than tripled since 2010.
In 2013 the radius will be more than 10 inches.
The etched arc will initially be just over 5 inches in length.
In 2014, the ratio of the etched arc to the circumference will be the same as it was in 2012.
The etched arc will never be longer than 1/6 of the circumference.
15 Regular pentagon ABCDE is inscribed in circle P . What is the measure of arc CD ?
A 36°
B 60°
C 108°
D 72°
16 Katie has come upon a 6.25 ft puddle in the middle of the street and she knows that her car is 5.5 feet wide. If Katie was told that the tangent from the edge of the street to the circle is 7.5 feet, what is the width of the path (x ) between the puddle and the edge of the street? A
B
C
D
4 ft
5 ft
4.5 ft
5.5 ft
17 What is the value of x ? A
B
C
D
100°
80°
160°
50°
18
If AP = 8 and PC = 4, what is the measure of AB , the diameter of this circle?
A 4
B 8
C 2
D 6
19 What is the measure of ∠
∠ 1?
A 19.5°
B 207°
C 76.5°
D 103.5°
20 A CD disk is shown in its package below. The measure of ∠
∠ TAM is equal to —
A
B
C
D