Angles and Circles Test Review

Angles and Circles Test Review

Important Notes and Practice for Your Test

All About Angles

What you need to know to Be Successful on Your Test

Supplementary Angles Add Up To 180 Degrees

If you are given the measure of 1 angle, you can subtract from 180 to find the measure of the other angle.

Multiple Choice

Calculate the value of x.

• 180

• 50

• 150

In this triangle, angle b and angle x are also supplementary angles.

That means angle B and angle X will add up to 180 degrees.

Multiple Choice

Angle X and Angle B add up to 180. If Angle X is 119°, what is the measure of Angle B.

• 61

• 71

Complementary angles are angles that add up to 90 degrees.

To find a missing angle, subtract the other angle from 90 when you are looking at a set of complementary angles.

Multiple Choice

What i the measure of Angle x?

• 27

• 17

• 90

Vertical angles are angles that are directly acros from each other. They share the same point.

Remember that vertical angles always have the same measurement.

Multiple Choice

Angles 1 and 2 are vertical angles. If Angle 1 is 61 degrees, what is the measure of angle 2

• 29

• 119

• 61

Look at the following problem. There is a similar problem on your test.

• To solve this problem, remember that vertical angles are equal

• Write an equation that makes both sides equal

• 3x+4=37

• Solve like a 2 step equation

Look at the following problem. There is a similar problem on your test.

• 3x+4=37

• Subtract 4 from both sides

• 3x=33

• Divide both sides by 3

• x=11

ALL ANGLES IN A TRIANGLE ADD UP TO 180°

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Multiple Choice

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

• 32
• 39
• 45
• 54

Multiple Choice

What is the measure of the missing angle?

• 82

• 43

• 55

• 180

Multiple Choice

What do the interior angles in a triangle have a sum of?

• 180

• 90

• 360

• 270

All About Circle

Finding the Circumference and Area of Circles

Parts of A Circle

Make sure you know the difference between diameter (long line) and radius (short line)

Multiple Choice

Does this picture show the diameter or radius of a circle?

• Diameter

• Radius

Multiple Choice

Does this picture show the diameter or radius of a circle?

• Diameter
• Radius

Circumference is the distance around the circle.

We can calculate circumference by:

Multiplying 3.14 x length of the diameter

or

Multiplying 3.14 x length of the radius x 2.

Multiple Choice

What is the circumference? (3.14 x diameter)

• 36

• 18pi

• 108pi

• 36pi

Multiple Choice

What is the circumference? (3.14 x radius x 2)

• 48

• 96

• 24

• 18

Multiple Choice

What is the circumference of a circle with a diameter of 10 meters? (3.14 x diameter)

• 5 meters

• 15.7 meters

• 3.14 meters

• 31.4 meters

Multiple Choice

Maya wants to sew a trim AROUND the edge of a pillow. The

radius of the pillow is 5 inches. What is the length of the trim that Maya will sew? (Remember AROUND is circumference. 3.14 x Radius x 2)

• 10 in

• 2.5 in

• 15.7 in

• 31.4 in

Area of a circle is the amount of space inside the circle.

To calculate area we multiply radius x radius then multiply by 3.14.

Multiple Choice

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

• 49.2 cm²

• 45.6 cm²

• 50.24 cm²

• 55.9 cm²

Multiple Choice

Find the area of the circle

• 43.96

• 153.86

• 87.82

• 307.72

You cannot find area with diameter. You must turn it into a radius first.

The radius is always HALF of a diameter.

Multiple Choice

find the diameter of the circle

• 14 m

• 7 m

• 14

• 3.5 m

Multiple Choice

Find the radius of the circle

• 20 ft

• 10 ft

• 5.5 ft

• 10

Word Problems

When solving word problems, be sure to draw a picture to help you solve.

Word Problems

A circular fountain has a drain in the center. The distance from the drain to the edge of the fountain is 3 feet. What is the circumference of the fountain? Round your answer to the nearest tenth of a foot.

Multiple Choice

You try: Juan got a new bike for his birthday. He measured the height of the bike's wheel, and found out the wheel is 10 in tall. Does the height of the wheel represent diameter or radius?

• diameter

• radius

CONGRATULATIONS

YOU HAVE COMPLETED PART 1 OF THE STUDY GUIDE. YOU MAY LEAVE THE LIVE CLASS. YOU WILL COMPLETE PART 2 TOMORROW.