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Grade 6 · Math

6th grade Circles: circumference and area worksheet

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Circles: circumference and area

Grade 6 Math Worksheet - Challenge Me

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

  1. Tala rolls a bike wheel with a diameter of 60 cm (no brakes needed). How far does it roll when the wheel turns 6 times, in cm? Use π = 3.14.

  2. Zee rolls a scooter wheel with a diameter of 20 cm. How far does it roll when the wheel turns 7 times, in cm? Use π = 3.14.

  3. Esme plans a round pond (diameter 6 ft) inside a square garden with sides of 12 ft. How much of the garden is not covered by the pond, in square ft? Use π = 3.14.

  4. Jun plants a round flower bed (diameter 6 ft) in a square lawn with sides of 14 ft. How much of the lawn is not covered, in square ft? Use π = 3.14.

  5. Luz lays a round quilt (diameter 8 ft) on a square floor with sides of 18 ft. How much of the floor is not covered by the quilt, in square ft? Use π = 3.14.

  6. Milo marks out a round circus tent floor (diameter 10 m) on a square playground with sides of 20 m. How much of the playground is not covered, in square m? Use π = 3.14.

  7. Noah measures 31.4 ft around a play tent floor (its circumference). What is its diameter, in ft? Use π = 3.14.

  8. Pia measures 37.68 ft around a round umbrella canopy (its circumference). What is its diameter, in ft? Use π = 3.14.

  9. Tala measures 62.8 m around a circus tent floor (its circumference). What is its diameter, in m? Use π = 3.14.

  10. Zee measures 94.2 cm around a tree trunk (its circumference). What is its diameter, in cm? Use π = 3.14.

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6th grade Circles: circumference and area worksheet – printable
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About this worksheet

Circles: circumference and area. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can tell the radius, the diameter and the distance around a circle apart, and change between radius and diameter.
  • I can find the distance around a circle (circumference) with 3.14 times the diameter.
  • I can find the area of a circle with 3.14 times the radius times the radius.

Standard: state-only (CCSS 7.G.B.4)

Words to know

radius: The distance from the middle of a circle to its edge.

diameter: The distance all the way across a circle through the middle. It is twice the radius.

circumference: The distance around the edge of a circle.

pi (π): A number, about 3.14. Around a circle is about 3.14 diameters.

area: How many squares cover the inside of a shape, in square units.

square cm: The area of a square 1 cm on each side.

Common mistakes

Your child mixed up the radius and the diameter. The diameter goes all the way across a circle, and the radius goes only from the middle to the edge, so the radius is half as long. Draw a circle together, mark both, and say which one is longer.

Your child mixed up the distance around a circle (circumference) with the space inside it (area).

Your child squared the diameter to find the area. The area uses the radius, which is half the diameter.

What to say

Ask: are we measuring a line around the edge, or the squares inside? Area is in square units; the distance around is in plain units.

Ask: what do you do to the diameter before you square it?

Questions parents ask

What is the most common mistake with circles: circumference and area?

Your child mixed up the radius and the diameter. The diameter goes all the way across a circle, and the radius goes only from the middle to the edge, so the radius is half as long. Draw a circle together, mark both, and say which one is longer.

Are these 6th 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 6 math

See all grade 6 math

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