PencilGo

Grade 7 · Math

7th grade Parts of a circle: radius, diameter, circumference and area 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
Print

Parts of a circle: radius, diameter, circumference and area

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Ari's bike wheel has a radius of 35 cm. About how far does the bike roll in one full turn of the wheel? Use 3.14 for π.

  2. A round pond has a radius of 12 m. How far does Bo walk once around its edge? Use 3.14 for π.

  3. A Ferris wheel has a radius of 45 ft. How far does a seat travel in one full turn, Esme? Use 3.14 for π.

  4. A drum is 50.24 cm around. Kira wants to know how far across (the diameter) it is. Use 3.14 for π.

  5. Luz's round plate is 87.92 cm around. How many cm across (the diameter) is the plate? Use 3.14 for π.

  6. A tree trunk is 113.04 cm around. Milo wants its diameter, the distance straight across. Use 3.14 for π.

  7. Noah measures a round bowl and finds it is 69.08 cm around. How many cm across is the bowl? Use 3.14 for π.

  8. Pia measures three round things, distance around and across: a can (31.4 cm, 10 cm), a bucket (62.8 cm, 20 cm), a drum (94.2 cm, 30 cm). What does around ÷ across give?

    • A bigger number for bigger circles, because a bigger circle has more distance around.
    • About 2 each time, because the distance around is twice the distance across.
    • About 6.28 each time, because the distance around is two times 3.14 across.
    • About 3.14 each time, however big the circle is.

  9. Ren wants a quick estimate, without a calculator, of the distance around a round trampoline that is 4 m across. Which estimate is the most reasonable?

    • About 8 m, because the distance around is twice the 4 m across.
    • About 6 m, because the distance around is 3 times half the 4 m across.
    • About 12 m, a little more than 3 times the 4 m across.
    • About 16 m, because the distance around is 4 times the 4 m across.

  10. Tala's round rug is 2 m across. Edge fringe is sold by the meter and top cleaner by the square meter. Which pair of amounts is right? Use 3.14 for π.

    • Fringe: 6.28 m (circumference). Cleaner: 3.14 square m (area).
    • Fringe: 3.14 m (area). Cleaner: 6.28 square m (circumference).
    • Fringe: 12.56 m (circumference). Cleaner: 3.14 square m (area).
    • Fringe: 6.28 m (circumference). Cleaner: 12.56 square m (area).
PencilGopencilgo.com

7th grade Parts of a circle: radius, diameter, circumference and area worksheet – printable
Print: 123456

About this worksheet

Name the parts of a circle: radius, diameter, chord, arc, central angle. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the distance around a circle from its radius or its diameter, with 3.14 for π, and work back from the distance around to the diameter.
  • I can see that the distance around divided by the distance across is the same number, about 3.14, for every circle.
  • I can find an arc as a share of the circumference using the central angle, and the edge of a half-circle.
  • I can count the turns of a wheel on a trip.
  • I can find an area from a distance around, add up a track from its parts, and say how doubling the radius changes the distance around and the area.

Standard: 7.G.B.4

Words to know

radius: A segment from the center to the circle

diameter: A segment across the circle through the center; 2 radii

chord: A segment joining two points on the circle

arc: A curved part of the circle

central angle: An angle with its vertex at the center

circumference: The distance around a circle; 3.14 times the diameter

π (pi): The number 3.14 (about) that the distance around is, per diameter

Common mistakes

Your child used the radius where the full diameter belongs, so the distance around came out half as long.

Your child found the space inside the circle instead of the distance around it.

Your child divided by 6.28 and found the radius instead of the diameter.

What to say

Ask: how far across is the circle, and how many radii is that?

Ask: are we measuring the edge or the inside?

Ask: is the answer from the center to the edge, or all the way across?

Questions parents ask

What is the most common mistake with parts of a circle: radius, diameter, circumference and area?

Your child used the radius where the full diameter belongs, so the distance around came out half as long.

How can I help my child with parts of a circle: radius, diameter, circumference and area?

Ask: how far across is the circle, and how many radii is that?

Are these 7th 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.

More grade 7 math

See all grade 7 math

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

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account