AnswersCR CCSS Math 2 S2 M2960OXArea of a Circle and a Sector

Area of a Circle and a Sector — Unit test Answers

0 verified answers2 views
1
Free Preview

UV and RV are secant segments that intersect at point V.

Question illustration
A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units
2
Free Preview

Consider circle N with radius 30 cm and radians.

Question illustration
A
12.4 centimeters
B
15.7 centimeters
C
31.4 centimeters
D
36.7 centimeters
3

Which statements about the clock are accurate? Select three options.

A
The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B
The circumference of the clock is approximately 62.8 inches.
C
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D
The length of the major arc between 3 and 10 is approximately 31.4 inches.
E
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
4

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

Question illustration
A
4.5 units
B
8 units
C
12 units
D
12.5 units
5

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

Question illustration
A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
7

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
8

Triangle BCD is isosceles and BC ≅ BD.

Question illustration
A
100°
B
120°
C
130°
D
160°
9

Consider circle C with angle ACB measuring radians.

Question illustration
A
6 inches
B
12 inches
C
18 inches
D
24 inches
10

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.
11

Question text not available

A
Circle C is shown. Line segment A C is a radius with length 6 centimeters.
Option A
B
Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Option B
C
Circle C is shown. Line segment A C is a radius with length 8 centimeters.
Option C
D
Circle C is shown. Line segment A C is a radius with length 9 centimeters.
Option D
12

Circle H is shown. Line segments G H and J H are radii. The length of G H is 20. Angle G H J is 162 degrees.

Question illustration
A
20
Option A
B
40
Option B
C
180
Option C
D
400
Option D
14

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.

Question illustration
A
32
Option A
B
85
Option B
C
96
Option C
D
256
Option D
15

All tangents to the circle are congruent and form a square. The perimeter of square ACEG is 24 cm.

Question illustration
A
2 cm
B
3 cm
C
6 cm
D
8 cm
16

The chords intersect at point U.

Question illustration
A
2
B
4
C
6
D
8
17

Circle O has a circumference of approximately 28.3 cm.

Question illustration
A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
18

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

A
8
B
9
C
10
D
12
19

Arc QVT measures 156°.

Question illustration
A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
20

Angle K measures 67º and angle L measures 119°.

Question illustration
A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
21

Given: Circle O; intercepts ; D intercepts Prove:

Question illustration
A
inscribed angles theorem
B
third corollary to the inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D

Did you find these answers helpful?