Quiz about High School Math Trigonometry Circles

Question 1

The distance around a circle is

Accepted Answer

Circumference

Answer

Radius

Answer

Center

Answer

Central Angle

Question 2

A polygon whose vertices are on a circle and whose edges are within the circle

Accepted Answer

inscribed polygon

Answer

inscribed angle

Answer

inscribed shape

Answer

inscribed math

Question 3

Every point on a circle in the same distance from the

Accepted Answer

center

Answer

edge

Answer

middle

Answer

radius

Question 4

An angle whose vertex is on the circumference of a circle and whose sides include chords of the circle

Accepted Answer

inscribed angle

Answer

inscribed polygon

Answer

central angle

Answer

inscribed edge

Question 5

The distance across the circle, through its center

Accepted Answer

Diameter

Answer

Radius

Answer

Radii

Answer

Circumferene

Question 6

An angle whose vertex is the center of the circle

Accepted Answer

central angle

Answer

Inscribed polygon

Answer

inscribed angle

Answer

vertex angle

Question 7

The distance from a circle to its center

Accepted Answer

radius

Answer

Chord

Answer

Central angle

Answer

circumference

Question 8

Two or more circles with the same center

Accepted Answer

Concentric circles

Answer

Happy circles

Answer

lots of circles

Answer

center circles

Question 9

A portion of a circle and its interior bound by an arc and two radii

Accepted Answer

Sector

Answer

Section

Answer

Piece of pie

Answer

part of circle

Question 10

A segment between two points on a circle

Accepted Answer

Chord

Answer

Line segment

Answer

lines

Answer

central angle

Question 11

What is the part of the circle highlighted in red called?

Accepted Answer

minor arc

Answer

semi-circle arc

Answer

major arc

Answer

sector

Question 12

What is the part of the circle highlighted in red called?

Accepted Answer

major arc

Answer

semi-circle arc

Answer

minor arc

Answer

sector

Question 13

What is the part of the circle highlighted in red called?

Accepted Answer

semi-circle arc

Answer

major arc

Answer

minor arc

Answer

sector

Question 14

An angle whose vertex lies on the circle and whose sides are chords of the circle

Accepted Answer

inscribed angle

Answer

central angle

Answer

arc

Answer

radius

Question 15

A chord is a segment that connects ___________

Accepted Answer

2 endpoints of a circle

Answer

the center to the endpoint

Answer

to one point outside the circle

Answer

a central angle

Question 16

A line that intersects a circle at exactly one point

Accepted Answer

tangent

Answer

secant

Answer

circle

Answer

chord

Question 17

An angle whose vertex is the center of a circle

Accepted Answer

central angle

Answer

inscribed angle

Answer

minor arc

Answer

major arc

Question 18

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

Accepted Answer

2

Answer

4

Answer

3

Answer

16

Question 19

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

Accepted Answer

C:(4, -2), r=5

Answer

C:(-4, 2), r=5

Answer

C:(4, -2), r=25

Answer

C:(-4, 2), r=25

Question 20

What is the center of the circle with equation x² + y² = 1?

Accepted Answer

(0, 0)

Answer

(1, 1)

Answer

not enough information

Question 21

What is the center of a circle with equation (x-4)² + y² = 5?

Accepted Answer

(4, 0)

Answer

(-4, 0)

Answer

(4, 1)

Answer

(-4, 1)

Question 22

Write the Standard Equation for a circle with a center (-2,5) and radius 7

Accepted Answer

(x+2)² + (y-5)² = 49

Answer

(x+9)² + (y-6)² = 49

Answer

(x+2)² + (y-5)² = 32

Question 23

What is the equation of the circle?

Accepted Answer

(x-1)² + (y -1)² = 9

Answer

(x+1)² + (y +1)² = 3

Answer

(x+1)² + (y -1)² = 3

Answer

(x+1)² + (y +1)² = 9

Question 24

The equation of the circle is ( x - 8 )² + ( y + 3 )² = 9 . The center is

Accepted Answer

( 8, -3 )

Answer

( 8, 3 )

Answer

( -8, -3 )

Answer

( -8, 3 )

Question 25

Question 25.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 26

Question 26.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 27

Determine the measure of Arc BA.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 28

Find the measure of <F

Accepted Answer

46

Answer

5

Answer

90

Answer

1.8

Question 29

Find a and b.

Accepted Answer

a=93 degrees
b=74 degrees

Answer

a=74 degrees
b=93 degrees

Answer

a=87 degrees
b=106 degrees

Answer

a=106 degrees
b=87 degrees

Question 30

What is m < T

Accepted Answer

m< T = 114 deg

Answer

m<T = 28.5 deg

Answer

m< T = 180 deg

Answer

m< T = 90 deg

Question 31

Find the length of BC.

Accepted Answer

14

Answer

2

Answer

3

Answer

9

Question 32

Question 32.

Accepted Answer

15

Answer

10

Answer

12

Answer

19

Question 33

Question 33.

Accepted Answer

14

Answer

12

Answer

19

Answer

17

Question 34

A tangent line intersecting with a radius always creates a ____________ angle

Accepted Answer

right

Answer

acute

Answer

obtuse

Answer

straight

Question 35

Assume that all the lines that appear tangent are tangent. Find the perimeter

Accepted Answer

54

Answer

36

Answer

48

Answer

42

Question 36

Assume that all the lines that appear tangent are tangent. Find the perimeter

Accepted Answer

54

Answer

36

Answer

48

Answer

42

Question 37

Find angle x

Accepted Answer

75 degrees

Answer

85 degrees

Answer

80 degrees

Answer

78 degrees

Question 38

Find x

Accepted Answer

10

Answer

5

Answer

18

Answer

9

Question 39

Which angles are congruent?

Accepted Answer

<ACB = <ADB = <AEB

Answer

<ACB = <ADB

Answer

<ADB=<AEB

Answer

<AEB=<ACB

Question 40

If a  quadrilateral is inscribed in a circle, then its ____angles are _____.

Accepted Answer

opposite; supplementary

Answer

adjacent; complimentary

Answer

opposite; complimentary

Answer

adjacent; supplementary

Question 41

Which angles are congruent?

Accepted Answer

<ACB = <ADB = <AEB

Answer

<ACB = <ADB

Answer

<ADB=<AEB

Answer

<AEB=<ACB

Question 42

A region bounded by an arc and its chord is a

Accepted Answer

segment of a circle

Answer

sector of a circle

Answer

arc of a circle

Answer

arc length of a circle

Question 43

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

Accepted Answer

15.7 square units

Answer

0.3 square units

Answer

19.7 square units

Answer

50.3 square units

Question 44

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

Accepted Answer

8

Answer

5

Answer

9

Answer

6

Question 45

Stephanie is cutting a pie. Stephanie's mother wants one fourth of the pie. The diameter is 20 cm. What is the sector area of the pie her mother does not want?

Accepted Answer

235.62 cm squared

Answer

three fourths of the pie

Answer

78.54 cm squared

Answer

83.99 cm squared

Question 46

Give an example of a chord

Accepted Answer

line HI

Answer

line KL

Answer

line GH

Answer

line GJ

Question 47

Give an example of a major arc

Accepted Answer

arc JLH

Answer

arc JH

Answer

arc HI

Answer

arc JL

Question 48

Find the value of X

Accepted Answer

6

Answer

20

Answer

10

Answer

4

Question 49

If TR is 11ft, find the length of arc PS

Accepted Answer

31.49 ft

Answer

24.54 ft

Answer

37.43

Answer

36.08 ft

Question 50

Select the true statement.

Accepted Answer

circumference is used when finding arc length

Answer

circumference is used when finding sector area

Answer

circumference is used when finding arc measure

Answer

circumference has nothing to do with circles

Question 51

Find the area of the shaded segment of circle O to the nearest tenth of a square unit.  The radius of the circle is 6 units.  The perpendicular from O to the chord joining point A to point B measures 4 units.

Accepted Answer

12.4 sq. units

Answer

4.8 sq. units

Answer

30.3 sq. units

Answer

48.2 sq. units

Question 52

What is the area of the shaded region? Round to the nearest hundredth.

Accepted Answer

28.54

Answer

78.53

Answer

314.16

Answer

58.54

Question 53

Find AB and DE.

Accepted Answer

32, 24

Answer

15, 32

Answer

32, 15

Answer

15, 24

Question 54

Solve for x.

Accepted Answer

6.6

Answer

4.2

Answer

10.4

Answer

11.6

Question 55

To find an angle inside the circle you use which of the following.

Accepted Answer

(1/2)(arc+arc)

Answer

(1/2)arc

Answer

(1/2)(arc - arc)

Answer

I don't know

Question 56

Conclusion?

Accepted Answer

The measure of angle ABC is half of arc AB

Answer

The measure of arc AB is half of Angle ABC

Answer

The measure of angle ABC is double of arc AB

Answer

The measure of arc AB is congruent to Angle ABC

Question 57

To find an angle outside the circle you use which of the following.

Accepted Answer

(1/2)(arc-arc)

Answer

(1/2)arc

Answer

(1/2)(arc+arc)

Answer

I don't know

Question 58

To find an angle on the circle you use which of the following.

Accepted Answer

(1/2)arc

Answer

(1/2)(arc+arc)

Answer

(1/2)(arc-arc)

Answer

I don't know

Question 59

What can you conclude?

Accepted Answer

AB=AC

Answer

AB and AC are not congruent.

Answer

AB= half of AC

Answer

AC = half of AB

Question 60

Solve for x.

Accepted Answer

x = 14

Answer

x = 35.67

Answer

x = -1

Answer

x = -4.33

Question 61

Solve for x.

Accepted Answer

10

Answer

6

Answer

8

Answer

12

Question 62

Solve for d.

Accepted Answer

9

Answer

8

Answer

10

Answer

12

Question 63

Solve for the value of x

Accepted Answer

10.6

Answer

49

Answer

7

Answer

112

Question 64

Find the value of x.

Accepted Answer

x = 18

Answer

x = 17

Answer

x = 16

Answer

x = 29.67

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