Grade 7 · Math

7th grade Parts of a circle: radius, diameter, circumference and area worksheet

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Parts of a circle: radius, diameter, circumference and area

Grade 7 Math Worksheet

NameDate

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

A round garden has a radius of 15 m. Ari walks along its edge through a central angle of 120°. How far does Ari walk? Use 3.14 for π.
A round skating rink is 24 m across. Bo glides along the edge through a central angle of 90°. How far is that? Use 3.14 for π.
A Ferris wheel has a radius of 20 m. Esme's seat moves through a central angle of 45°. How far does the seat travel? Use 3.14 for π.
Kira traces the whole edge of a half-circle window, the curve plus the straight bottom. It is 10 cm across the bottom. How long is the edge? Use 3.14 for π.
A half-circle window is 20 cm across its straight bottom. Luz wants trim for the whole edge, curve and bottom. How long must the trim be? Use 3.14 for π.
The top of Milo's doorway is a half circle 6 ft across. How long is the whole edge, the curve plus the straight bottom? Use 3.14 for π.
Noah's tent window is a half circle 14 in across the bottom. How much trim goes around the whole edge, curve plus bottom? Use 3.14 for π.
Ren's unicycle wheel is 0.7 m across. How many full turns does it make over a ride of 21.98 m? Use 3.14 for π.
Tala's scooter wheel is 0.4 m across. How many full turns does it make over a ride of 62.8 m? Use 3.14 for π.
A wagon wheel is 0.6 m across. How many full turns does it make while Zee pulls the wagon 37.68 m? Use 3.14 for π.

7th grade Parts of a circle: radius, diameter, circumference and area worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Name the parts of a circle: radius, diameter, chord, arc, central angle. 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 from its radius or its diameter, with 3.14 for π, and work back from the distance around to the diameter.
I can see that the distance around divided by the distance across is the same number, about 3.14, for every circle.
I can find an arc as a share of the circumference using the central angle, and the edge of a half-circle.
I can count the turns of a wheel on a trip.
I can find an area from a distance around, add up a track from its parts, and say how doubling the radius changes the distance around and the area.

Standard: 7.G.B.4

Words to know

radius: A segment from the center to the circle

diameter: A segment across the circle through the center; 2 radii

chord: A segment joining two points on the circle

arc: A curved part of the circle

central angle: An angle with its vertex at the center

circumference: The distance around a circle; 3.14 times the diameter

π (pi): The number 3.14 (about) that the distance around is, per diameter

Common mistakes

Your child used the radius where the full diameter belongs, so the distance around came out half as long.

Your child found the space inside the circle instead of the distance around it.

Your child divided by 6.28 and found the radius instead of the diameter.

What to say

Ask: how far across is the circle, and how many radii is that?

Ask: are we measuring the edge or the inside?

Ask: is the answer from the center to the edge, or all the way across?

Questions parents ask

What is the most common mistake with parts of a circle: radius, diameter, circumference and area?

Your child used the radius where the full diameter belongs, so the distance around came out half as long.

How can I help my child with parts of a circle: radius, diameter, circumference and area?

Ask: how far across is the circle, and how many radii is that?

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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