Grade 6 · Math

6th grade Circles: circumference and area worksheet

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Circles: circumference and area

Grade 6 Math Worksheet

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

Pia measures a round pizza with a diameter of 20 cm. What is its circumference (the distance around), in cm? Use π = 3.14.
Ren measures a round tent floor with a diameter of 24 ft. What is its circumference (the distance around), in ft? Use π = 3.14.
Tala measures a round drum top with a diameter of 32 cm. What is its circumference (the distance around), in cm? Use π = 3.14.
Zee measures a beach ball with a diameter of 36 inches. What is the circumference (the distance around the middle), in inches? Use π = 3.14.
Ari measures a round bike wheel with a radius of 13 inches. What is its circumference (the distance around), in inches? Use π = 3.14.
Jun measures a round flower bed with a radius of 4 m. What is its area, in square m? Use π = 3.14.
Kira measures a round plate with a radius of 11 cm. What is its area, in square cm? Use π = 3.14.
Milo measures a round tabletop with a diameter of 26 inches. What is its area, in square inches? Use π = 3.14.
Noah measures a round pizza with a diameter of 28 cm. What is its area, in square cm? Use π = 3.14.
Pia measures a round giant clock face with a diameter of 34 inches. What is its area, in square inches? Use π = 3.14.

6th grade Circles: circumference and area worksheet – printable — Print: 1 2 3 4 5 6

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?

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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