Understanding Radians and Degrees

What is the total number of degrees in a full circle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

How is a radian defined in relation to a circle?

• An angle that intercepts an arc equal to half the circle's radius

• An angle that intercepts an arc equal to the circle's radius

• An angle that intercepts an arc equal to the circle's circumference

• An angle that intercepts an arc equal to the circle's diameter

How many radians are there in a full circle?

• 3π radians

• π radians

• 4π radians

• 2π radians

What is the radian measure of a 90-degree angle?

• π/2 radians

• π radians

• 2π radians

• π/4 radians

What is the conversion factor used to convert degrees to radians?

• π radians = 270 degrees

• π radians = 180 degrees

• π radians = 360 degrees

• π radians = 90 degrees

Convert 285 degrees to radians.

• 19π/12 radians

• 15π/12 radians

• 19π/10 radians

• 15π/10 radians

Convert 2/3π radians to degrees.

• 180 degrees

• 60 degrees

• 90 degrees

• 120 degrees

How do you calculate the length of an arc using radians?

• Add the radian measure to the radius

• Divide the radian measure by the radius

• Multiply the radian measure by the radius

• Multiply the degree measure by the radius

What is the arc length if the central angle is 240 degrees and the radius is 4?

• 12π/3

• 8π/3

• 20π/3

• 16π/3

If the radius of a circle is measured in inches, how should the arc length be expressed?

• In radians

• In degrees

• In inches

• In centimeters