WorksheetsTest 11 Review
Total questions: 20
Worksheet time: 11mins
Which of the following is not true for ○L?
H is a minor arc.
HIJ is a semicircle.
HKJ is a major arc containing point J.
KHJ is a major arc containing point K.
What is the measure of arc WX in ⊙V?
87
90
93
103
What is the value of x?
5
7
19
35
A semicircle has endpoints (−4, 1) and (7, 1). What is the length of the semicircle to the nearest tenth?
17.3
4.3
34.6
9.4
The radius of ⊙A is four times the radius r of ⊙B. Arc CD is an arc in ⊙A such that the measure of arc CD is 45° What is the length of arc CD? If arc PQ is an arc in ⊙B that has the same length as arc CD, what is the measure of arc PQ?
πr;180
πr;90
0.5πr;180
0.5πr;90
What is the exact radian measure of an angle of 132°?
11π/15
15π/11
22π/15
15π/22
What is length a to the nearest tenth?
47.1
23.6
20.1
10.5
Which of the following is true?
Circles can have different radii, but the measure of a radian is constant.
The measurement of a radian can vary, but the length of the radii of circles is a constant.
A radian gives the measure of a central angle such that the length of the intercepted arc is equal to
A radius gives the measure of a central angle such that the length of the intercepted arc is equal to
Two concentric circles have radii of 4 cm and 5 cm. How much longer, in cm, is the intercepted arc in the larger circle than an intercepted arc in the smaller circle for a central angle that is π/2 radians?
4π/5
2π
π/5
π/2
In a circle with a radius of 2 in., an arc is 3 in. What is the central angle, in radians, that corresponds to this arc? What is the measure of the central angle to the nearest tenth of a degree?
3π radians; 85.9°
3π radians; 38.2°
1.5 radians; 85.9°
1.5 radians; 38.2°
What is the area of sector XYZ in m2?
4π
6π
9π
12π
Suppose XZ is drawn in circle Y. What is the area in, m2, of the segment between XZ and arc XZ to the nearest tenth?
22.1
27.3
29.9
31.2
What is the area in, cm2, of the shaded sector to the nearest tenth?
187.6
153.6
192.2
137.1
What is the area of the shaded segment to the nearest tenth?
5.6
9.1
13.3
9.8
How is the area of a circle inscribed in an equilateral triangle related to the area of a circle circumscribed around that same triangle?
The area of the inscribed circle is 1/8 the area of the circumscribed circle.
The area of the inscribed circle is 1/4 the area of the circumscribed circle.
The area of the inscribed circle is 1/2 the area of the circumscribed circle.
The area of the inscribed circle is double the area of the circumscribed circle.
The area of the inscribed circle is double the area of the circumscribed circle.
(x2 + 25) + (y2 − 16) = 3
(x2 -25) + (y2 + 16) = 9
(x + 5)2 + (y − 4)2 = 3
(x - 5)2 + (y + 4)2 = 9
What is the equation of the circle with center (1, −6) that passes through the point (−4, 3)?
(x + 1)2 + (y − 6)2 = 106
(x - 1)2 + (y + 6)2 = 106
(x + 1)2 + (y − 6)2 = 424
(x - 1)2 + (y + 6)2 = 424
What is the equation of a circle that has a diameter AB
for A(7,5) and B(−3,−2)?
(x − 2)2 + (y − 1.5)2 = 37.25
(x − 7)2 + (y − 5)2 = 37.25
(x − 2)2 + (y − 1.5)2 = 12.2
(x − 7)2 + (y − 5)2 = 12.2
Which of the following is true?
The circles (x + 1)2 + (y − 4)2 = 36 and (x + 1)2 + (y − 4)2 = 9 are concentric.
The circles (x + 1)2 + (y − 4)2 = 36 and (x + 1)2 + (y − 4)2 = 9 have the same radius.
The circles (x − 7)2 + (y + 3)2 = 36 and (x + 7)2 + (y + 3)2 = 9 are concentric.
The circles (x − 7)2 + (y + 3)2 = 36 and (x + 7)2 + (y + 3)2 = 9 are reflections of one another across the x-axis.
Is the following equation an equation of a circle? If so, write in standard form. If not, explain why not.
x2 − 4x + 5 + y2 = 16
Yes; (x − 2)2 + (y − 0)2 = 15
Yes; (x − 2)2 + (y − 0)2 = 11
No; it is not an equation of a circle because the 4x term is not squared.
No; it is not an equation of a circle because it is not possible to tell what the center of the circle would be.
