Circles — Test Answers

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In circle cap o , what is m angle MAJ ?

A
250 degrees
B
55 degrees
C
125 degrees
D
50 degrees
3

What is the approximate length of minor arc XZ ? Round to the nearest tenth of a meter.

A
3 point 7 meters
B
1 point 8 meters
C
15 point 2 meters
D
18 point 8 meters
4

In the diagram of circle cap A , what is m angle LMN ?

A
120 degrees
B
135 degrees
C
90 degrees
D
75 degrees
6

The measure of central angle ABC is (π)/(2) radians. What is the area of the shaded sector?

A
18 pi units squared
B
9 pi units squared
C
6 pi units squared
D
36 pi units squared
7

In circle cap c , r is equal to 32 units. What is the area of circle cap c ?

A
1024 pi units squared
B
32 pi units squared
C
256 pi units squared
D
64 pi units squared
8

Which statements about circle cap o are true? Choose three correct answers.

A
line segment LP is a diameter of circle cap o .
B
The radius of circle cap o is 13 .
C
angle LMP intercepts a semicircle.
D
The measure of arc LP is 90 degrees .
E
The diameter of circle cap o is 34 .
10

What is m overarc SRT ?

A
258 degrees
B
266 degrees
C
274 degrees
D
282 degrees
11

What is the measure of angle cap c ?

A
38 degrees
B
152 degrees
C
90 degrees
D
76 degrees
12

Which kind of triangle must triangle XYZ be?

A
a scalene triangle
B
an isosceles triangle
C
a right triangle
D
an equilateral triangle
13

What is the measure of arc ST ?

A
112 degrees
B
56 degrees
C
68 degrees
D
163 degrees
14

The diagram shows the partial construction of which shape?

A
a regular hexagon inscribed in a circle
B
a square inscribed in a circle
C
an equilateral triangle inscribed in a circle
D
a similar circle inscribed in a circle
15

What is the measure of overarc EAC ?

A
235 degrees
B
280 degrees
C
100 degrees
D
125 degrees
16

Which segments are congruent?

A
line segment EH and line segment EF
B
line segment FG and line segment EH
C
line segment GH and line segment FE
D
line segment EF and line segment GF
17

Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?

A
Connect the endpoints of the two diameters.
B
Connect all six points on the circle.
C
Construct two diameters using the points where the arc intersects the circle and the center.
D
Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.
18

What is the measure of overarc PQ ?

A
33 degrees
B
48 degrees
C
24 degrees
D
66 degrees
20

What is the approximate length of arc QR ? Round to the nearest tenth of a centimeter.

A
9 point 9 centimeters
B
21 point 5 centimeters
C
19 point 9 centimeters
D
43 point 0 centimeters

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