Circles

Ch 10-11: Circles , Circumference, Area

Multiple Choice

The chord of the circle is best represented by...

• $$\overline{EF}$$  

• $$\overline{CD}$$  

• $$\overrightarrow{CB}$$  

• $$\overleftarrow{A}\overrightarrow{B}$$  

Multiple Choice

The Tangent of the circle is best represented by...

• $$\overleftarrow{G}\overrightarrow{H}$$  

• $$\overline{EF}$$  

• $$\overleftarrow{E}\overrightarrow{F}$$  
  

• $$\overline{AB}$$  
  

Multiple Choice

The Point of Tangency of the circle is best represented by...

• Point C

• Point G

• Point D

• Point E

Multiple Choice

The Secant of the circle is best represented by...

• $$\overleftarrow{E}\overrightarrow{F}$$  

• $$\overline{EF}$$  

• $$\overleftarrow{G}\overrightarrow{H}$$  
  

• $$\overline{AB}$$  
  

Multiple Choice

The tangent line and radius are ___ to each other.

• parallel

• perpendicular

Multiple Choice

Determine if a tangent line is shown in the picture.

• Yes

• No

• Not sure

Multiple Choice

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 11.7

• 10.8

• 13.0

• 14.2

Multiple Choice

What is the value of x?

• A
• B
• C
• D

Multiple Choice

Find x

• 10
• 5
• 18
• 9

Multiple Choice

Find the value of x.

• 10
• 181
• 34
• 40

Multiple Choice

Find the value of x.

• 15
• 13
• 3
• 6

Multiple Choice

• 278⁰
• 297⁰
• 90⁰
• 105⁰

Multiple Choice

Find the value of x.

• 12.5
• 8
• 35
• 16

Multiple Choice

What is x?

• 15

• 23

• 2

• 92

Multiple Choice

Find the measure of arc AB.

• 17
• 34
• 68
• 146

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Find the measure of <E.

• 7
• 8
• 44

Fill in the Blank

Find the indicated measure. Enter your answer as a number only.

Fill in the Blank

Find the indicated measure. Enter your answer as a number only.

Fill in the Blank

Find the indicated measure. Enter your answer as a number only.

Multiple Choice

Determine the value of x using the information in the diagram.

• 136º

• 70º

• 68º

• 66º

Multiple Choice

Determine the value of x using the information in the diagram.

• 60º

• 70º

• 80º

• 100º

Multiple Choice

Determine the value of x using the information in the diagram.

• 190º

• 130º

• 120º

• 70º

Multiple Choice

Solve for x.

• 10
• 85
• 170
• 180

Multiple Choice

What is the value of w?

• 75
• 105
• 150
• 210

Multiple Choice

Solve for x.

• 29
• 33
• 41.5
• 50

Multiple Choice

What is the measure of angle 2?

• 80
• 45
• 125
• 40

Multiple Choice

Find the measure of the missing arc.

• 70°

• 100.5°

• 201°

• 140°

Multiple Choice

In the diagram, two chords intersect inside the circle. Solve for x.

• 14
• 12
• 19
• 17

Multiple Choice

Solve for x.

• 12

• 1.5

• 1

• 4

Tangent - Secant Theorem

Multiple Choice

Solve for x.

• 18

• 144

• 12

• 16

Multiple Choice

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

• (x + 1)² + (y - 5)² = 25

• (x - 1)² + (y - 5)² = 25

• (x - 1)² + (y + 5)² = 25

• (x + 1)² + (y + 5)² = 25

Multiple Choice

Which is the correct equation of the given circle?

• (x + 1)² + (y - 3)² = 9

• (x - 1)² + (y + 3)² = 9

• (x + 1)² + (y + 3)² = 9

• (x - 1)² + (y - 3)² = 9

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

Quick Review!

Check out out formula before you practice!

Multiple Choice

Find the area of this polygon.

• 22 mm²

• 110 mm²

• 320 mm²

• 100 mm²

Multiple Choice

A city has a population of 8792 people. The area of the city is approximately 6.5 square miles. Approximately, how many people per square mile live in the city?

• 57148
• 208
• 1353
• 135

Multiple Choice

What is the area of the rhombus? (Figure only show one part of the diagonals.)

• 11 cm²

• 30 cm²

• 22 cm²

• 60 cm²

Multiple Choice

Find the area of the kite.

• 19.5

• 78

• 39

• 27