Degree-radian conversion. Game on.

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

Kickoff

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Warm-upeasy

Convert $120°$ to radians.

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

Mid-gameeasy

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

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

Mid-gameeasy

Convert $60°$ to radians.

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

Mid-gameeasy

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

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

Mid-gameeasy

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

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

Mid-gameeasy

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

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

Mid-gameeasy

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

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

Buzzer beatereasy

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

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

Overtime

10 more. Played, not assigned.

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Tests that cover degree-radian conversion:

ACT PARCC NC EOG/EOC NY State Math

Reporting domains for this skill

ACT All grades: Preparing for Higher Math MAAP High School Courses: Algebra II domains Maine MTA High School (grade 10): Functions MCAP Algebra II: Functions NC EOG/EOC NC Math 3: Functions NJSLA Algebra II: Trigonometric Functions

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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