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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Angle measurement (degrees, radians)

Grade: 10-a Lesson: S3-L6

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	A Ferris wheel completes one full rotation in 10 minutes. How many degrees does the Ferris wheel rotate in 1 minute? How many radians is this equivalent to?	A) \$ pi/7 \$ B) \$ pi/5 \$ C) \$ (13pi)/4 \$ D) \$ (21pi)/2 \$
2	A wind turbine has blades that rotate at a rate of 2 radians per second. How many degrees does it rotate in 30 seconds?	A) 2345 B) 3438 C) 3112 D) 2943
3	A circle is divided into sectors, and one of them has an angle of \$(5π)/4\$ radians. What is this angle in degrees?	A) 239 B) 261 C) 212 D) 225
4	Here are some angle measurements in degrees matched with their corresponding measurements in radians. Can you identify the correct match?	A) \$ 270° = 2pi \$ B) \$ 360° = pi \$ C) \$ 45° = pi/2 \$ D) \$ 60° = pi/3 \$
5	In a circle with a center O, points A and B are on the circle. If the arc \$\overset{\frown}{AB}\$ measures \$(13π)/15\$ radians, what is the measure of the central angle ∠AOB in degrees?	A) 215 B) 181 C) 156 D) 138
6	What is the supplement of \$(5pi)/6\$ radians in degrees, and what is the complement of 45 degrees in radians?	A) 45, \$ pi/6 \$ B) 45, \$ pi/4 \$ C) 30, \$ pi/4 \$ D) 30, \$ pi/6 \$
7	Convert 159 degrees to radians.	A) \$ (53pi)/60 \$ B) \$ (49pi)/30 \$ C) \$ pi/15 \$ D) \$ (41pi)/60 \$
8	Convert 270 degrees to radians. Then find the sine and cotangent of this angle.	A) -1, 0 B) 1, 0 C) 0, 1 D) undefined
9	Convert \$ (79π)/30 \$ radians to degrees.	A) 414 B) 474 C) 388 D) 494
10	What is the measure of an angle in radians if its degree measure is 306?	A) \$ (13pi)/10 \$ B) \$ (17pi)/10 \$ C) \$ (19pi)/10 \$ D) \$ (11pi)/10 \$

Problem Id

Problem

Options

A Ferris wheel completes one full rotation in 10 minutes. How many degrees does the Ferris wheel rotate in 1 minute? How many radians is this equivalent to?

A) \$ pi/7 \$

B) \$ pi/5 \$

C) \$ (13pi)/4 \$

D) \$ (21pi)/2 \$

A wind turbine has blades that rotate at a rate of 2 radians per second. How many degrees does it rotate in 30 seconds?

A) 2345

B) 3438

C) 3112

D) 2943

A circle is divided into sectors, and one of them has an angle of \$(5π)/4\$ radians. What is this angle in degrees?

A) 239

B) 261

C) 212

D) 225

Here are some angle measurements in degrees matched with their corresponding measurements in radians. Can you identify the correct match?

A) \$ 270° = 2pi \$

B) \$ 360° = pi \$

C) \$ 45° = pi/2 \$

D) \$ 60° = pi/3 \$

In a circle with a center O, points A and B are on the circle. If the arc \$\overset{\frown}{AB}\$ measures \$(13π)/15\$ radians, what is the measure of the central angle ∠AOB in degrees?

A) 215

B) 181

C) 156

D) 138

What is the supplement of \$(5pi)/6\$ radians in degrees, and what is the complement of 45 degrees in radians?

A) 45, \$ pi/6 \$

B) 45, \$ pi/4 \$

C) 30, \$ pi/4 \$

D) 30, \$ pi/6 \$

Convert 159 degrees to radians.

A) \$ (53pi)/60 \$

B) \$ (49pi)/30 \$

C) \$ pi/15 \$

D) \$ (41pi)/60 \$

Convert 270 degrees to radians. Then find the sine and cotangent of this angle.

A) -1, 0

B) 1, 0

C) 0, 1

D) undefined

Convert \$ (79π)/30 \$ radians to degrees.

A) 414

B) 474

C) 388

D) 494

What is the measure of an angle in radians if its degree measure is 306?

A) \$ (13pi)/10 \$

B) \$ (17pi)/10 \$

C) \$ (19pi)/10 \$

D) \$ (11pi)/10 \$