Free Printable CIRCLES Reviewer

1.

These are curves obtained by the intersection of right circular cone and a plane.

a)

Parabola

b)

Ellipse

c)

Hyperbola

d)

Conic sections

2.

There are only three types of conic sections. Which of the following is not a type of conic section?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

3.

If the plane intersects the cone parallel to the x-axis as shown in the figure, the curve formed is a/an ____________.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

4.

If the plane intersects both nappes (cones) as shown in the figure, the conic section formed is a/an ______________.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

5.

If the plane intersects the cone as shown in the figure, the conic section formed is a/an _____________.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

6.

A __________ is a conic section which is mirror-symmetrical and is approximately U-shaped.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

7.

If the plane intersects the cone at an angle to the x-axis (tilted) to form a bounded curve, then the conic section is a/an ________________.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

8.

A/An ______________ is the set of all points in a plane that are equidistant from a given point in the plane called the center.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

9.

A/An ________________ is the set of all points in a plane that are the same distance from a fixed point called the focus and a fixed line called the directrix.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

10.

A/An ______________ is the set of all points in a plane such that the sum of the distances from two fixed points is constant.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

11.

A/An __________________ is the set of all points in a plane such that the absolute value of the difference of distances from two fixed points is constant.

a)

parabola

b)

ellipse

c)

circle

d)

hyperbola

12.

What is formed when the plane intersects the cones at the vertex only?

a)

Degenerate conics

b)

a point

c)

a single line

d)

intersecting lines

13.

What is formed when the plane intersects tangent to the cones?

a)

degenerate conics

b)

a point

c)

a single line

d)

intersecting lines

14.

A circle is a special type of an ellipse.

a)

TRUE

b)

FALSE

15.

A line segment on the interior of a circle with endpoints on the circle

a)

Radius

b)

Diameter

c)

Secant

d)

Chord

16.

A line that passes through a circle

a)

Secant

b)

Tangent

c)

Chord

d)

Radius

17.

The distance across a circle through the center is called the_______________.

a)

radius

b)

circumference

c)

diameter

d)

area

18.

What is CB?

a)

diameter

b)

center

c)

circumference

d)

radius

19.

What is AB?

a)

diameter

b)

center

c)

circumference

d)

radius

20.

a)

Area of a Circle

b)

Circumference of a Circle

c)

Area of a Trapezoid

d)

Area of a Triangle

21.

A line segment connecting any two points on a circle is called a _____________.

a)

diameter

b)

chord

c)

radius

d)

circumference

22.

Name a chord.

a)

Segment XC

b)

Segment LM

c)

Segment HJ

d)

LINE BD

23.

Name a tangent.

a)

Segment XC

b)

Segment LM

c)

Segment HJ

d)

LINE BD

24.

The distance around a circle; much like the perimeter of a rectangle.

a)

perimeter

b)

diameter

c)

circumference

d)

radius

25.

A line that intersects a circle at exactly one point is a ____________.

a)

tangent

b)

secant

c)

chord

d)

radius

26.

What is the name for the distance around a circle?

a)

Diameter

b)

Radius

c)

Circumference

d)

Chord

27.

What is true about chords?

a)

Their end points are on the circle

b)

They go though the circle

c)

They touch the circle at one point

d)

They always go through the center point

28.

Which is true

a)

All radii are chords

b)

All chords are Diameters

c)

All diameters are chords

d)

All tangents are chords

29.

What is true about tangents?

a)

Their end points are on the circle

b)

They go though the circle

c)

They touch the circle at one point

d)

They always go through the center point

30.

What is true about secants?

a)

Their end points are on the circle

b)

They go though the circle

c)

They touch the circle at one point

d)

They always go through the center point

31.

How many degrees are in a cirlce?

a)

90

b)

180

c)

270

d)

360

32.

Which best describes line AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

33.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

34.

What is the center for the circle with this equation x² + y² + 4x + 6y - 36 = 0?

a)

(-2, 5)

b)

(2, 7)

c)

(-2, -7)

d)

(-2, -3)

35.

Determine the center and radius: x²+ y²+ 14x - 2y = -1

a)

center= (-7,2) radius= 3

b)

center= (-7,1) radius= 7

c)

center= (-4,1) radius= 5

36.

The equation of a circle is $16x^2+16y^2+96x-40y-315=0$ . Write the equation in standard form.

a)

$(x+3)^2+(y+\frac{5}{2})^2=\frac{121}{4}$

b)

$(x+3)^2+(y-\frac{5}{4})^2=\frac{121}{4}$

c)

$(x+3)^2+(y-\frac{5}{2})^2=\frac{121}{4}$

d)

$(x-3)^2+(y-\frac{5}{4})^2=\frac{121}{4}$

37.

Determine the equation of the circle in standard form: $2x^2+2y^2-4x-28y+68=0$

a)

(x - 1)² + (y - 7)² = 16

b)

(x + 1)² + (y - 3)² = 36

c)

(x + 3)² + (y + 7)² = 4

d)

(x - 2)² + (y - 3)² = 49

38.

Determine the equation of the circle in standard form: $2x^2+2y^2-4x-28y+68=0$

a)

(x - 1)² + (y - 7)² = 16

b)

(x + 1)² + (y - 3)² = 36

c)

(x + 3)² + (y + 7)² = 4

d)

(x - 2)² + (y - 3)² = 49

39.

What is the center of

x^2+y^2+6x-8y-11=0

a)

(6, 0)

b)

(-3, 4)

c)

(4, -3)

d)

(3, 4)

40.

What is the radius of the given circle:
x²+y²-10x+8y-23=0?

a)

4

b)

2

c)

8

41.

Which of the following equations of circle in general form given the center at (5, -8) and radius of 11 units?

a)

x² + y² -10x + 16y + 32 = 0

b)

x² + y² -10x + 16y - 32 = 0

c)

(x - 5)² + (y + 8)² = 11

d)

(x - 5)² + (y + 8)² = 121

42.

Which of the following equations of circle in general form given the center at (3, 4) and radius of 5 units?

a)

(x – 3)² - (y – 4)² = 25

b)

(x – 3)² + (y – 4)² = 25

c)

x² + y²+ 6x - 8y - 25 = 0

d)

x² + y²- 6x - 8y = 0

43.

Convert the equation of the circle from standard to general.

$\left(x+14\right)^2+\left(y+2\right)^2=1$

a)

$x^2+y^2+25x+4y+199=0$

b)

$x^2+y^2+28x+4y+199=0$

c)

$x^2+y^2+24x+7y+199=0$

d)

$4x^2+y^2+28x+4y+199=0$

44.

Identify the center of the circle in general form.

$x^2+y^2-20x+14y+129=0$

a)

(-10, -7)

b)

(10, -7)

c)

(5, 8)

d)

(-9, -5)

45.

What is the center of this circle:

$x^2+y^2-10y+16=0$

a)

( 0 , 4 )

b)

( 0 , 5 )

c)

( 0 , 6 )

d)

( 0 , 7 )

46.

What is the center of this circle:

$x^2+y^2-4x-6y-3=0$

a)

( 2 , 3 )

b)

( –2 , 3 )

c)

( 2 , –3 )

d)

( 3 , 2 )

47.

Find the equation of a circle with center at ( 7, -3 ) and tangent to the x axis.

a)

$\left(x-7\right)^2+\left(y-3\right)^2=9$

b)

$\left(x+7\right)^2+\left(y-3\right)^2=49$

c)

$\left(x-7\right)^2+\left(y+3\right)^2=9$

d)

$\left(x-7\right)^2+\left(y+3\right)^2=49$

48.

The radius of a circle is twice the measure of the diameter

a)

TRUE

b)

FALSE

49.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

50.

Which graph corresponds to

(x-4)²+ (y+4)²=25

a)

A

b)

B

c)

C

d)

D

CIRCLES Reviewer

Total questions: 50

Worksheet time: 4hrs 5mins

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