Grade 7 · Math

7th grade Area of a circle, and of parts of a circle worksheet

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Area of a circle, and of parts of a circle

Grade 7 Math Worksheet

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

Luz's button has a radius of 1.2 cm. It is very small and very round. What is its area in square cm? Use π = 3.14. Do not round.
Milo's plate has a radius of 8.5 cm. It has been spinning on a finger. What is its area in square cm? Use π = 3.14. Do not round.
Ren's pizza has a diameter of 29 cm. It has strong opinions about toppings. What is its area in square cm? Use π = 3.14. Do not round.
Tala's dish has a diameter of 31 cm. It is a very big dish. What is its area in square cm? Use π = 3.14. Do not round.
Zee's flower bed has a diameter of 10 m. The petals are in a circle. What is its area in terms of π? Write it like 14π.
Bo's dish has a radius of 6.5 cm. It is a roomy dish. What is its area in terms of π? Write it like 14π.
7.
Jun's plate has a diameter of 24 cm. It is a very serious plate. Which expression gives its area? Use π = 3.14. Do not round.
- 3.14 × 12 × 12
- 3.14 × 12
- 3.14 × 24 × 24
- 3.14 × 24
8.
Kira's pizza has a radius of 13 cm. It is waiting for its close-up. Which expression gives its area? Use π = 3.14. Do not round.
- 3.14 × 26 × 26
- 2 × 3.14 × 13
- 3.14 × 13 × 13
- 3.14 × 13
Luz's pizza has a radius of 16 cm and is cut into 8 equal slices. What is the area of one slice in square cm? Use π = 3.14. Do not round.
Pia's pizza has a radius of 15 cm and is cut into 10 equal slices. What is the area of one slice in square cm? Use π = 3.14. Do not round.

7th grade Area of a circle, and of parts of a circle worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Area of a circle, and of parts of a circle. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the area of a circle from its radius or its diameter, and write it in terms of π or as a decimal.
I can find the area of a slice, a half circle, a quarter circle and a ring, and add or take away those parts in a bigger shape.
I can tell area (squares inside) from circumference (the distance around) and use an area in a real problem.

Standard: 7.G.B.4

Words to know

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

radius: The distance from the middle of a circle to its edge. It is half a diameter.

diameter: The distance all the way across a circle, through the middle.

circumference: The distance around the edge of a circle.

pi (π): The number of diameters that fit around any circle: about 3.14.

wedge or slice: One of several equal pieces of a circle, with a point at the middle.

ring: The flat part between two circles that share a middle, like a plate's rim.

Common mistakes

Your child used the diameter where the radius belongs. The wedge rectangle is one radius tall, and the area rule uses the radius, which is half the diameter.

Your child found the distance around the circle instead of the area inside it. The wedge rectangle is only half the distance around wide.

Your child found only the width of the wedge rectangle and forgot its height. The area is the width times the height: 3.14 × radius, times the radius again.

What to say

Ask: what do you do to the diameter first?

Ask: are we measuring the edge or the inside?

Ask: how tall is the rectangle?

Questions parents ask

What is the most common mistake with area of a circle, and of parts of a circle?

Your child used the diameter where the radius belongs. The wedge rectangle is one radius tall, and the area rule uses the radius, which is half the diameter.

How can I help my child with area of a circle, and of parts of a circle?

Ask: what do you do to the diameter first?

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

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