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7th grade Distance around a circle worksheet

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Distance around a circle

Grade 7 Math Worksheet

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  1. Jun's plate has a diameter of 27 cm. It has a very smooth rim. What is its circumference in cm? Use π = 3.14. Do not round.

  2. Pia's flower bed has a radius of 6.5 m. The tulips are in a circle. What is its circumference in meters? Use π = 3.14. Do not round.

  3. Ren's clock face has a radius of 14.5 cm. It ticks very loudly. What is its circumference in cm? Use π = 3.14. Do not round.

  4. Tala's pizza has a radius of 8.5 cm. It is a personal pizza with big plans. What is its circumference in cm? Use π = 3.14. Do not round.

  5. Zee measures a round plate: 44 cm around and 14 cm across. The tape measure had a busy day. What is the circumference divided by the diameter, to the nearest hundredth?

  6. Ari measures a round cookie: 15.6 cm around and 5 cm across. It was measured before it was eaten. What is the circumference divided by the diameter, to the nearest hundredth?

  7. Bo measures a round clock face: 37.8 cm around and a radius of 6 cm. The hands held still for the tape. What is the circumference divided by the diameter, to the nearest hundredth?

  8. Luz's clock face has a radius of 7.5 cm. It is five minutes fast. What is its circumference in terms of π? Write it like 14π.

  9. Milo's hand mirror has a diameter of 13.5 cm. It is a very big hand mirror. Which expression gives its circumference? Use π = 3.14. Do not round.

    • 3.14 × 13.5 × 13.5
    • 3.14 × 6.75
    • 3.14 × 13.5
    • 2 × 3.14 × 13.5

  10. Pia's plate has a diameter of 16.5 cm. It would like to be a frisbee. Which expression gives its circumference? Use π = 3.14. Do not round.

    • 3.14 × 16.5 × 16.5
    • 3.14 × 16.5
    • 2 × 3.14 × 16.5
    • 3.14 × 8.25
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7th grade Distance around a circle worksheet – printable
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About this worksheet

Distance around a circle (circumference). 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 (circumference) from its diameter or its radius, and write it in terms of π or as a decimal.
  • I can see that the distance around divided by the diameter is always about 3.14, and use that to work back to a diameter.
  • I can use a circumference in real problems: wheels that turn, the edge of a half circle, a ribbon with an extra piece.

Standard: 7.G.B.4

Words to know

circumference: The distance around the edge of a circle.

diameter: The distance all the way across a circle, through the middle.

radius: The distance from the middle of a circle to its edge. It is half a diameter.

pi (π): The number of diameters that fit around any circle: about 3.14.

in terms of π: An answer left as a number times π, like 14π, instead of a decimal.

half circle: Half of a circle, with a curved edge and a straight edge across the middle.

Common mistakes

Your child doubled a diameter that was already the full way across the circle. The distance around is about 3 diameters (3.14). Roll a round lid once along a table and compare the track with the width of the lid.

Your child used the radius where the diameter belongs. The distance around is about 3.14 diameters, and a diameter is two radii. Draw a circle together, mark both, and say which is longer.

Your child used an area rule (a length times itself, with 3.14) for the distance around. Distance around is a length along the edge; area counts the squares inside.

What to say

Ask: which are we measuring here?

Questions parents ask

What is the most common mistake with distance around a circle?

Your child doubled a diameter that was already the full way across the circle. The distance around is about 3 diameters (3.14). Roll a round lid once along a table and compare the track with the width of the lid.

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.

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