Precalculus degrees and radians worksheet

One fraction in each direction: multiply by pi over 180 to get radians, or by 180 over pi to get degrees. Answers stay exact and in terms of pi, never rounded.

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Degrees and Radians Date Period Convert each angle. Convert to radians, then add one full turn: $32 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{18}$ Convert to radians, then add one full turn: $28 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{17 π}{9}$ Convert to radians, then add one full turn: $34 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{4 π}{9}$ Convert to radians, then add one full turn: $35 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{10 π}{9}$ Convert to radians, then add one full turn: $20 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{9}$ Convert to radians, then add one full turn: $16 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{2 π}{9}$ Convert to radians, then add one full turn: $2 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{8 π}{9}$ Convert to radians, then add one full turn: $22 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{16 π}{9}$ Convert to radians, then add one full turn: $8 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{14 π}{9}$ Convert to radians, then add one full turn: $4 0^{\circ}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{35 π}{18}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Degrees and Radians

Date Period

Convert each angle.

Convert to radians, then add one full turn: $32 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{18}$
Convert to radians, then add one full turn: $28 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{17 π}{9}$
Convert to radians, then add one full turn: $34 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{4 π}{9}$
Convert to radians, then add one full turn: $35 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{10 π}{9}$
Convert to radians, then add one full turn: $20 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{9}$
Convert to radians, then add one full turn: $16 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{2 π}{9}$
Convert to radians, then add one full turn: $2 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{8 π}{9}$
Convert to radians, then add one full turn: $22 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{16 π}{9}$
Convert to radians, then add one full turn: $8 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{14 π}{9}$
Convert to radians, then add one full turn: $4 0^{\circ}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{35 π}{18}$



Sigma Prep · sigmaprep.io/worksheets Name Degrees and RadiansAnswer keyVersion 1 Date Period Convert each angle. Convert to radians, then add one full turn: $32 0^{\circ}$ $\frac{34 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{18}$ $17 0^{\circ}$ Convert to radians, then add one full turn: $28 0^{\circ}$ $\frac{32 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{17 π}{9}$ $16 0^{\circ}$ Convert to radians, then add one full turn: $34 0^{\circ}$ $\frac{35 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{4 π}{9}$ $10 0^{\circ}$ Convert to radians, then add one full turn: $35 0^{\circ}$ $\frac{71 π}{18}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{10 π}{9}$ $2 0^{\circ}$ Convert to radians, then add one full turn: $20 0^{\circ}$ $\frac{28 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{9}$ $16 0^{\circ}$ Convert to radians, then add one full turn: $16 0^{\circ}$ $\frac{26 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{2 π}{9}$ $14 0^{\circ}$ Convert to radians, then add one full turn: $2 0^{\circ}$ $\frac{19 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{8 π}{9}$ $2 0^{\circ}$ Convert to radians, then add one full turn: $22 0^{\circ}$ $\frac{29 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{16 π}{9}$ $14 0^{\circ}$ Convert to radians, then add one full turn: $8 0^{\circ}$ $\frac{22 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{14 π}{9}$ $10 0^{\circ}$ Convert to radians, then add one full turn: $4 0^{\circ}$ $\frac{20 π}{9}$ Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{35 π}{18}$ $17 0^{\circ}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Degrees and RadiansAnswer keyVersion 1

Date Period

Convert each angle.

Convert to radians, then add one full turn: $32 0^{\circ}$ $\frac{34 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{18}$ $17 0^{\circ}$
Convert to radians, then add one full turn: $28 0^{\circ}$ $\frac{32 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{17 π}{9}$ $16 0^{\circ}$
Convert to radians, then add one full turn: $34 0^{\circ}$ $\frac{35 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{4 π}{9}$ $10 0^{\circ}$
Convert to radians, then add one full turn: $35 0^{\circ}$ $\frac{71 π}{18}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{10 π}{9}$ $2 0^{\circ}$
Convert to radians, then add one full turn: $20 0^{\circ}$ $\frac{28 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{π}{9}$ $16 0^{\circ}$
Convert to radians, then add one full turn: $16 0^{\circ}$ $\frac{26 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{2 π}{9}$ $14 0^{\circ}$
Convert to radians, then add one full turn: $2 0^{\circ}$ $\frac{19 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{8 π}{9}$ $2 0^{\circ}$
Convert to radians, then add one full turn: $22 0^{\circ}$ $\frac{29 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{16 π}{9}$ $14 0^{\circ}$
Convert to radians, then add one full turn: $8 0^{\circ}$ $\frac{22 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{14 π}{9}$ $10 0^{\circ}$
Convert to radians, then add one full turn: $4 0^{\circ}$ $\frac{20 π}{9}$
Convert to degrees, then say how far it is from $18 0^{\circ}$ : $\frac{35 π}{18}$ $17 0^{\circ}$

How to do these

Convert to radians: $13 5^{\circ}$

Multiply by pi over 180.
135 over 180 reduces to 3 over 4.

The answer is $\frac{3 π}{4}$ .

Where students go wrong

Multiplying by the wrong fraction. Going to radians the 180 is underneath, going to degrees it is on top. A quick sanity check: a radian answer should be a smallish number times pi, and a degree answer should not have pi in it at all.

Also called converting degrees to radians, radian measure or angle measure.

What you can put on this worksheet

Degrees to radians: Convert to radians: $21 0^{\circ}$ → $\frac{7 π}{6}$
Radians to degrees: Convert to degrees: $\frac{7 π}{6}$ → $21 0^{\circ}$

Questions about these worksheets

Yes. Every degrees and radians sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Precalculus is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the degrees and radians questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: degrees to radians and radians to degrees. Tick as many as you want and set how many of each, or let it spread them evenly.

Precalculus degrees and radians worksheet

Select your difficulty

Degrees and Radians

Degrees and RadiansAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

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