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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	Convert 180 degrees to radians. Then find the sine and cosine of this angle.	A) \$ 1, \sqrt3/2 \$ B) 0, − 1 C) 1, 0 D) \$ 1/2, \sqrt3 \$
2	What is the supplement of \$(2pi)/3\$ radians in degrees, and what is the complement of 75 degrees in radians?	A) 120, \$ pi/12 \$ B) 60, \$ pi/12 \$ C) 30, \$ pi/6 \$ D) 360, \$ (5pi)/12 \$
3	A pendulum swings through an arc of 60 degrees. Convert this to radians.	A) \$ pi/2 \$ B) \$ pi/6 \$ C) \$ pi/4 \$ D) \$ pi/3 \$
4	If a wheel rotates by \$ (17π)/30\$ radians, how many degrees has it turned?	A) 112 B) 213 C) 152 D) 102
5	If an arc measures 48 degrees, what is the measure of its corresponding central angle in radians?	A) \$ (5pi)/12 \$ B) \$ (3pi)/17\$ C) \$ (4pi)/15\$ D) \$ pi/14\$
6	Convert \$ (139pi)/30\$ radians to degrees.	A) 712 B) 809 C) 834 D) 787
7	Given that an angle measures \$(3pi)/4\$ radians, what is its degree measure?	A) 135 B) 90 C) 180 D) 270
8	A gear rotates 120 degrees. What is the angle in radians covered by the gear?	A) \$ (2pi)/3 \$ B) \$ (5pi)/3 \$ C) \$ (4)/3 \$ D) \$ (7pi)/3 \$
9	An inscribed angle in a circle intercepts an arc that measures 111 degrees. What is the measure of the inscribed angle in radians?	A) \$ (73pi)/60 \$ B) \$ (37pi)/120 \$ C) \$ (47pi)/30 \$ D) \$ (37pi)/60 \$
10	Here are some angle measurements in degrees matched with their corresponding measurements in radians. Can you identify the incorrect match?	A) \$ 300° = (5pi)/3 \$ B) \$ 45° = pi/2 \$ C) \$ 135° = (3pi)/4 \$ D) \$ 30° = pi/6 \$

Problem Id

Problem

Options

Convert 180 degrees to radians. Then find the sine and cosine of this angle.

A) \$ 1, \sqrt3/2 \$

B) 0, − 1

C) 1, 0

D) \$ 1/2, \sqrt3 \$

What is the supplement of \$(2pi)/3\$ radians in degrees, and what is the complement of 75 degrees in radians?

A) 120, \$ pi/12 \$

B) 60, \$ pi/12 \$

C) 30, \$ pi/6 \$

D) 360, \$ (5pi)/12 \$

A pendulum swings through an arc of 60 degrees. Convert this to radians.

A) \$ pi/2 \$

B) \$ pi/6 \$

C) \$ pi/4 \$

D) \$ pi/3 \$

If a wheel rotates by \$ (17π)/30\$ radians, how many degrees has it turned?

A) 112

B) 213

C) 152

D) 102

If an arc measures 48 degrees, what is the measure of its corresponding central angle in radians?

A) \$ (5pi)/12 \$

B) \$ (3pi)/17\$

C) \$ (4pi)/15\$

D) \$ pi/14\$

Convert \$ (139pi)/30\$ radians to degrees.

A) 712

B) 809

C) 834

D) 787

Given that an angle measures \$(3pi)/4\$ radians, what is its degree measure?

A) 135

B) 90

C) 180

D) 270

A gear rotates 120 degrees. What is the angle in radians covered by the gear?

A) \$ (2pi)/3 \$

B) \$ (5pi)/3 \$

C) \$ (4)/3 \$

D) \$ (7pi)/3 \$

An inscribed angle in a circle intercepts an arc that measures 111 degrees. What is the measure of the inscribed angle in radians?

A) \$ (73pi)/60 \$

B) \$ (37pi)/120 \$

C) \$ (47pi)/30 \$

D) \$ (37pi)/60 \$

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

A) \$ 300° = (5pi)/3 \$

B) \$ 45° = pi/2 \$

C) \$ 135° = (3pi)/4 \$

D) \$ 30° = pi/6 \$