Grade 12 · Algebra & functions

Degree-radian conversion practice

Degree-radian conversion is a grade 12 math skill aligned to Common Core standard HSF.TF.A.1: understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 18 degree-radian conversion problems our math games drill.

CCSS HSF.TF.A.118 questions in the bank

Sample questions

Try 8 for free

Question 1easy

Convert $120°$ to radians.

$120° \times \dfrac{\pi}{180°} = \dfrac{2\pi}{3}$ .

Question 2easy

Convert $\dfrac{3\pi}{4}$ to degrees.

$\dfrac{3\pi}{4} \times \dfrac{180°}{\pi} = 135°$ .

Question 3easy

Convert $60°$ to radians.

$60° \times \dfrac{\pi}{180°} = \dfrac{\pi}{3}$ .

Question 4easy

Convert $\dfrac{\pi}{4}$ to degrees.

$\dfrac{\pi}{4} \times \dfrac{180°}{\pi} = 45°$ .

Question 5easy

Convert $\dfrac{\pi}{3}$ to degrees.

$\dfrac{\pi}{3} \times \dfrac{180°}{\pi} = 60°$ .

Question 6easy

Convert $\dfrac{\pi}{6}$ to degrees.

$\dfrac{\pi}{6} \times \dfrac{180°}{\pi} = 30°$ .

Question 7easy

Convert $\dfrac{\pi}{2}$ to degrees.

$\dfrac{\pi}{2} \times \dfrac{180°}{\pi} = 90°$ .

Question 8easy

Convert $\dfrac{2\pi}{3}$ to degrees.

$\dfrac{2\pi}{3} \times \dfrac{180°}{\pi} = 120°$ .

Tests that cover degree-radian conversion:

ACT PARCC NC EOG/EOC NY State Math

More Grade 12 skills:

Convergence tests Inverse trig domain and range Calculus application formulas Law of sines and cosines Maclaurin series Polar and rectangular conversion Special limits Standard antiderivatives All Grade 12 practice →

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