Grade 10 · Math · Geometry

10th grade Radians and degrees worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Radians and degrees

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Milo turns a clock hand from 12 to 1: a turn of 30°. How many radians is 30°, in terms of π?
Noah swings a door open wide: a turn of 135°. How many radians is 135°, in terms of π?
Pia turns a bike wheel three quarters of the way round: a turn of 270°. How many radians is 270°, in terms of π?
Ren gives a spinner a small nudge: a turn of 40°. How many radians is 40°, in terms of π?
Tala rolls a bike wheel of radius 4 inches. A point on the rim moves 9 inches along the circle. How many radians does the wheel turn?
Zee runs a finger along a drum's rim. Arc CD is 18 cm long, and the radius is 6 cm. How many radians is ∠COD?
Bo lays string along a round clock's edge. Arc CD is 15 cm long, and the radius is 10 cm. How many radians is ∠COD?
Esme cuts a round pizza into 4 equal slices. That is 1/4 of the whole turn. How many radians is that angle at the center, in terms of π?
Kira eats 3 of 8 equal pizza slices. That is 3/8 of the whole turn. How many radians is that angle at the center, in terms of π?
Luz watches a clock hand move from 12 to 5. That is 5/12 of the whole turn. How many radians is that angle at the center, in terms of π?

Radians and degrees. Every version has 10 questions, and the answer key prints on the second page.

Standard: G-C.B.5, F-TF.A.1

radian: The angle that holds an arc one radius long.

π radians: A half turn, 180°.

2π radians: A whole turn, 360°.

s = rθ: Arc length = radius × angle, with the angle in radians.

in terms of π: Keep π as a letter in the answer, like 5π/6.

Your child wrote π next to the degree number instead of converting.

Your child treated π radians as a full turn.

Your child divided by 180 but left π off the answer.

Ask: how many degrees make π radians?

Ask: π radians is half a turn; how many degrees is that?

Ask: 180° is how many radians?

What is the most common mistake with radians and degrees?

Your child wrote π next to the degree number instead of converting.

How can I help my child with radians and degrees?

Ask: how many degrees make π radians?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records