Grade 6 · Math

6th grade Circles: circumference and area worksheet

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Circles: circumference and area

Grade 6 Math Worksheet - Building Confidence

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

Kira measures a round clock face. Its diameter is 30 cm. The radius is half of the diameter. What is the radius, in cm?
Luz measures a round play tent floor. Its diameter is 12 ft. The radius is half of the diameter. What is the radius, in ft?
Milo measures a round quilt. Its diameter is 8 ft. The radius is half of the diameter. What is the radius, in ft?
Noah measures a round circus tent floor. Its radius is 14 m. The diameter is twice the radius. What is the diameter, in m?
Pia measures a round drum top. Its radius is 16 cm. The diameter is twice the radius. What is the diameter, in cm?
Tala measures a round party tent floor with a diameter of 10 ft. The circumference (the distance around a circle) is 3.14 diameters. What is its circumference, in ft? Use π = 3.14.
Ari measures a round duck pond with a diameter of 14 ft. The circumference (the distance around a circle) is 3.14 diameters. What is its circumference, in ft? Use π = 3.14.
Bo measures a round jar lid with a diameter of 16 cm. The circumference (the distance around a circle) is 3.14 diameters. What is its circumference, in cm? Use π = 3.14.
Esme measures a round frog pond with a radius of 3 ft. Its area is 3.14 squares, each 3 ft by 3 ft. What is its area, in square ft? Use π = 3.14.
Kira measures a round plate with a radius of 9 cm. Its area is 3.14 squares, each 9 cm by 9 cm. What is its area, in square cm? 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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