Degree to Radian Conversion and Arc Length Exploration

What is defined as the length of the radius wrapped around the circumference of a circle?

• Diameter

• Circumference

• Radian

• Degree

How many degrees are equivalent to pi radians?

• 90 degrees

• 180 degrees

• 57.3 degrees

• 360 degrees

To convert radians to degrees, you multiply by which of the following?

• Pi over 360

• 360 over Pi

• 180 over Pi

• Pi over 180

What is the degree equivalent of 3 Pi/4 radians?

• 135 degrees

• 215 degrees

• 150 degrees

• 180 degrees

To convert 90 degrees to radians, you would get:

• 2Pi

• Pi

• Pi/2

• Pi/4

What is the radian measure equivalent to 210 degrees?

• 3 Pi/2

• 11 Pi/6

• 7 Pi/6

• Pi/2

When converting degrees to radians, Pi appears in which part of the fraction?

• Both

• Denominator

• Numerator

• Neither

The arc length formula for degrees is:

• Theta * r

• Theta/180 * Pi*r

• Theta/360 * 2Pi*r

• 2Pi*r/Theta

For a circle with a radius of 13 inches and a central angle of 60 degrees, the arc length is:

• 13 Pi inches

• 4.3 Pi inches

• 6.5 Pi inches

• 26 Pi inches

What is the arc length when the radius is 20 inches and the central angle is 90 degrees?

• 5 Pi inches

• 10 Pi yards

• 20 Pi inches

• 40 Pi inches