Unit 4 Review: Angles & Circles

The deck is 4 feet wide, and the pool measures 24 feet across. Which measurement is closest to the circumference of the outer edge of the deck?

• 32 feet

• 90 feet

• 100 feet

• 75 feet

Ms. Cooper is trying to decide between a square vegetable garden and a circular vegetable garden. She lays out one 100-foot rope to frame the flower bed in the shape of a square. In another area, she uses another 100-foot rope to frame a second flower bed in the shape of a circle. (Drawings not to scale.)

Find the area of the square and of the circle. Round your answer to the nearest square foot.

Which shape should Ms. Cooper use if she wants the largest possible area for a 100-foot rope?

• The square at

  625 square ft

• The circle at

  100 square ft

• The square at

  25 square ft

• The circle at

  804 square feet

Which protractor shows 125°? 

• 
• 
• 
• 

What is the measure of this angle?

• 125 degrees

• 55 degrees

• 65 degrees

• 135 degrees

Find the value of the missing angle "A".

• 180 degrees

• 39 degrees

• 40 degrees

• 90 degrees

The diagram shows line m intersecting line n, and it shows some of the angle measures. Write and solve an equation to determine the value of x.

• x = 25

• x = 5

• x = 20

• x = 24

Use the given measure of ∠A and ∠B to answer the following conditions.

m∠A = 35º             m∠B = 7xº

Write an equation when Angle A and Angle B are vertical angles. Solve the equation for x, showing your work.

• 35 = 7x

  x = 5

• 35 + 7x = 180

  x = 20

• 7x + 35 = 90

  x = 8

• 7x = 35

  x = 245

What is the value of x?

• x = 5

• x = 9

• x = 14

• x = 27

Write and solve an equation to determine the m∠ABD.

• 34 x + 20 = 6x

  m∠ABD = 88

• 34x + 20 + 6x = 180

  m∠ABD = 24

• 34x + 20 + 6x = 180

  m∠ABD = 156

• 34 x + 20 + 6x = 90

  m∠ABD = 156

A bicycle tire has a diameter of 26 inches. How far will the bicycle travel in 20 rotations of the tire? Round to the nearest tenth.

• 137 inches

• 520 inches

• 800 inches

• 1640 inches