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Lesson Example Discussion Quiz: Class Homework

Quiz Discussion

Title: Angle measurement (degrees, radians)

Grade: 10-a Lesson: S3-L6

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id	Problem	Options
Steps 1	Determine the measure of an angle in radians if its degree measure is 300.	A) \$3/(5 \pi)\$ B) \$(5 \pi)/3\$ C) \$(5/3)\pi\$ D) \$5/(pi)\$
Steps 2	In a circle with center O, points C and D lie on the circle. ∠COD has a measure of \$2π/5\$ rad. Convert ∠COD’s angle measure from radians to degrees.	A) 20° B) 72° C) 70° D) 27°
Steps 3	What is the supplement of \$pi/4\$ radians in degrees, and what is the complement of 25 degrees in radians?	A) 45° and \$pi/36 \$ B) 25° and \$pi/13\$ C) 120° and \$(36pi)/13 \$ D) 135° and \$(13pi)/36\$
Steps 4	A pendulum swings from a 30-degree angle on one side to a 30-degree angle on the other side, covering a total arc of 60 degrees. How many radians does the pendulum swing through in total?	A) \$pi/2\$ B) \$pi/5\$ C) \$pi/6\$ D) \$pi/3\$
Steps 5	Convert the angle \$π/3\$ rad into degrees using the radians to degrees formula.	A) 60° B) 55° C) 64° D) 58°

Problem Id

Problem

Options

Steps 1

Determine the measure of an angle in radians if its degree measure is 300.

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

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

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

D) \$5/(pi)\$

Steps 2

In a circle with center O, points C and D lie on the circle. ∠COD has a measure of \$2π/5\$ rad. Convert ∠COD’s angle measure from radians to degrees.

A) 20°

B) 72°

C) 70°

D) 27°

Steps 3

What is the supplement of \$pi/4\$ radians in degrees, and what is the complement of 25 degrees in radians?

A) 45° and \$pi/36 \$

B) 25° and \$pi/13\$

C) 120° and \$(36pi)/13 \$

D) 135° and \$(13pi)/36\$

Steps 4

A pendulum swings from a 30-degree angle on one side to a 30-degree angle on the other side, covering a total arc of 60 degrees. How many radians does the pendulum swing through in total?

A) \$pi/2\$

B) \$pi/5\$

C) \$pi/6\$

D) \$pi/3\$

Steps 5

Convert the angle \$π/3\$ rad into degrees using the radians to degrees formula.

A) 60°

B) 55°

C) 64°

D) 58°