Understanding Angles: Degrees and Radians

What is the degree measurement of a straight line?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Why is the number 360 used for a full rotation in degrees?

• It's a random choice

• Derived from base 60 system

• Based on daily solar cycle

• Related to Earth's orbit

What does one radian correspond to in a circle?

• Arc equal to half the radius

• Arc equal to circumference

• Arc equal to radius

• Arc equal to diameter

How is the circumference of a circle related to its radius?

• Circumference equals radius

• Circumference equals diameter

• Circumference equals 2 Pi times radius

• Circumference equals Pi times diameter

How many radians are there in a full circle?

• 4 Pi radians

• 2 Pi radians

• Pi/2 radians

• Pi radians

What is the degree measurement of a full rotation?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

What is the relationship between radians and degrees?

• Pi radians = 360 degrees

• 2 Pi radians = 360 degrees

• 1 radian = 360 degrees

• 1 radian = 180 degrees

What is the degree value of 180 degrees in radians?

• Pi/2 radians

• Pi/4 radians

• 2 Pi radians

• Pi radians

How many radians does a right angle convert to?

• Pi radians

• 2 Pi radians

• Pi/2 radians

• Pi/4 radians

What is the degree equivalent of one radian approximately?

• 180 degrees

• 90 degrees

• 45 degrees

• 57.3 degrees