Grade 7 · Math

7th grade Distance around a circle worksheet

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Distance around a circle

Grade 7 Math Worksheet - Challenge Me

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

Ren wraps ribbon once around a round plate. The ribbon is 59.66 cm long. The ribbon fit on the first try. What is the diameter in cm? Use π = 3.14. Do not round.
Tala wraps ribbon once around a round pizza. The ribbon is 103.62 cm long. The ribbon smells like dinner. What is the diameter in cm? Use π = 3.14. Do not round.
Jun's bike has a wheel 0.5 m across. It rolls 31.4 m without slipping. How many full turns does the wheel make? Use π = 3.14 and do not round.
Sketch, not to scale. Kira's scooter has a wheel 0.2 m across. It rolls 15.7 m without slipping. How many full turns does the wheel make? Use π = 3.14 and do not round.
Luz's bike has a wheel 0.6 m across. It rolls 56.52 m without slipping. How many full turns does the wheel make? Use π = 3.14 and do not round.
Milo's half pizza has a diameter of 38 cm. The other half is already gone. How far is it all the way around, curved edge plus straight edge? Use π = 3.14. Do not round.
Pia's half cookie has a diameter of 4 cm. The chips picked a side. How far is it all the way around, curved edge plus straight edge? Use π = 3.14. Do not round.
Ren's half paper plate has a diameter of 23 cm. How far is it all the way around, curved edge plus straight edge? Use π = 3.14. Do not round.
Tala wraps ribbon once around a plate 21 cm across, plus 15 cm more to tie the bow. How long is the ribbon in cm? Use π = 3.14. Do not round.
Bo wraps ribbon once around a clock face 26 cm across, plus 12 cm more to tie the bow. How long is the ribbon in cm? Use π = 3.14. Do not round.

7th grade Distance around a circle worksheet – printable — Print: 1 2 3 4 5 6

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?

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

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