Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a radians unit circle quiz? Then this Algebra 2 quiz on Radians and the Unit Circle Explained asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check radians, the unit circle and the identity. Wrong options reflect typical errors with signs and conversions, so read each explanation.
Standards: F-TF.A.1, F-TF.A.2, F-TF.C.8 · Level: Grade 11 Algebra 2
What this Radians and the Unit Circle Explained quiz checks
- π radians = 180°, so a full turn is 2π radians.
- Arc length is s = rθ when θ is in radians.
- The terminal point of angle θ on the unit circle is (cos θ, sin θ).
- sin² θ + cos² θ = 1 for every angle θ.
- Reference angles and quadrant signs give the exact value of any special angle.
The 10 questions of the quiz
- How many radians equal 90°?
- What is 4π/3 radians in degrees?
- What is sin(π/6)?
- The point on the unit circle at 5π/6 is
- What is the sign of cos θ and sin θ for the marked angle?
- If sin θ = 3/5 and θ is in quadrant I, then cos θ =
- What is the arc length of a sector with radius 6 and angle π/3?
- What is tan(π/4)?
- Which pair of values can belong to one angle on the unit circle?
- What does one radian measure?
After the quiz
Missed a question? Reread the Radians and the Unit Circle Explained lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Radians and the Unit Circle Explained, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.