Circles Day 4

Unit 4 Test 2 - Circles Review

By Kimber Norman

Circle Theorems

Multiple Choice

This is a picture of ___________.

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Multiple Choice

This is a picture of ___________.

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Multiple Choice

This is a picture of ___________.

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Multiple Choice

This is a picture of ___________.

• Chord
• Diameter
• Radius
• Inscribed Angle

Multiple Choice

The distance from the center of a circle to the boundary of a circle (half of the diameter).

• Chord
• Diameter
• Radius
• Inscribed Angle

Multiple Choice

A segment/chord that runs through the center of the circle (the longest chord).

• Chord
• Diameter
• Radius
• Inscribed Angle

Multiple Choice

A segment with 2 endpoints on the circle.

• Chord
• Diameter
• Radius
• Inscribed Angle

Multiple Choice

This is a picture of ___________.

• Chord
• Diameter
• Radius
• Inscribed Angle

Multiple Choice

This is a picture of ___________.

• Major Arc
• Minor Arc
• Central Angle
• Inscribed Angle

Multiple Choice

An angle whose vertex (corner) is on the circle.

• Major Arc
• Minor Arc
• Central Angle
• Inscribed Angle

Multiple Choice

This is a picture of ___________.

• Major Arc
• Minor Arc
• Central Angle
• Inscribed Angle

Multiple Choice

The long way around a circle that is greater than 180 ^o.

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Multiple Choice

The short way around a circle that is less than 180 ^o.

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Multiple Choice

When the distance from one point to the next on the circle is exactly 180^o (half of a circle).

• Minor Arc
• Major Arc
• Semi-Circle
• Central Angle

Circle Theorem

The angle in a semi-circle is a right angle.

Multiple Choice

What is m∠LMO?
(Segment LO is a diameter of Circle P)

• 30°
• 45°
• 80°
• 90°

Circle Theorem

The angle at the circumference is double the angle at the centre.

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Find the measure of arc AB.

• 17
• 34
• 68
• 146

Multiple Choice

Solve for the missing angle.

• 24^o
• 48^o
• 12^o
• 6^o

Multiple Choice

Find the given angle.

• 59°

• 118°

• 70°

• 242°

Multiple Choice

What is x?

• 5

• 23

• 2

• 28

Multiple Choice

Solve for x.

• 167

• 11

• 9

• 118

Multiple Choice

• 65°

• 125°

• 92°

• 152°

Circle Theorem

Angles in the same segment are equal

Multiple Choice

Find the measure of <F

• 46
• 5
• 90
• 1.8

Multiple Choice

Find the measure of <E.

• 7
• 8
• 44

Multiple Choice

Find the measure of <B

• 4
• 20
• 10
• 47

Multiple Choice

Find the measure of <G

• 54
• 128
• 27

Circle Theorem

Multiple Choice

Find a and b.

• a=74 degrees
  b=93 degrees
• a=93 degrees
  b=74 degrees
• a=87 degrees
  b=106 degrees
• a=106 degrees
  b=87 degrees

Multiple Choice

What is the measure of angle A?

• 34°

• 180°

• 112°

• 79°

Multiple Choice

• 258°

• 129°

• 188°

• 169°

Circle Theorem

The perpendicular from the centre to a chord bisects the chord.

Multiple Choice

Solve for x.

• 3.6
• 9.2
• 11.5
• 14.3

Multiple Choice

Solve for x.

• 4.3
• 26
• 13
• 112

Multiple Choice

Find the value of x.

• 26
• 24
• 30
• 20

Multiple Choice

In the diagram, the diameter of the circle is perpendicular to a chord. Solve for the value of "x" and "y"

• x=4, y=5
• x=3, y=7
• x=7, y=3
• x=6, y=9

Multiple Choice

• 278⁰
• 297⁰
• 90⁰
• 105⁰

Multiple Choice

Find x

• 10
• 5
• 18
• 9

Multiple Choice

Find the value of x.

• 10
• 181
• 34
• 40

Circle Theorem

Two tangents from a point to a circle are equal.

Multiple Choice

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

• 54
• 36
• 48
• 42

Multiple Choice

Find the perimeter of the triangle.

• A
• B
• C
• D

Multiple Choice

Find the perimeter of the polygon.

• 77.8
• 73.4
• 78.8
• 67.4

Multiple Choice

What is the value of x?

• 22
• 25
• 15
• 20

Circle Theorem

The tangent to a circle is perpendicular to the radius at the point of contact.

Multiple Choice

Is line AB tangent to the circle?

• YES
• No
• Can't be determined 

Circle Equations

Some text here about the topic of discussion

Multiple Choice

What does (h,k) stand for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle

Multiple Choice

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Multiple Choice

What is the equation of the circle?

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

Multiple Choice

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Multiple Choice

• $$\left(x-3\right)^2\ +\ \left(y-4\right)^2\ =\ 169$$

• $$\left(x-4\right)^2\ +\ \left(y-4\right)^2\ =\ 13$$

• $$\left(x-13\right)^2\ +\ \left(y-4\right)^2\ =\ 3\$$

• $$\left(x-4\right)^2\ +\ \left(y-3\right)^2\ =\ 13$$

Multiple Choice

The circumference of a circle is 28.26 cm. What is closest to the area of the circle.

• 254.34 cm²

• 14.13 cm²

• 63.6 cm²

Multiple Choice

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

• Center (4, 3)

  Radius = 5 units

• Center (4, 3)

  Radius = 25 units

• Center (-4, -3)

  Radius = 25 units

• Center (-4, -3)

  Radius = 5 units

Multiple Choice

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Multiple Choice

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units