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Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Area of a circle, and of parts of a circle

Grade 7 Math Worksheet - Building Confidence

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

  1. Read this first

    Use this

    Grid, each square 0.5 cm by 0.5 cm. The wedges laid point up, point down make a near-rectangle 7.85 cm wide (half the distance around the circle) and 2.5 cm tall (the radius).

  2. Ari cuts a round cookie into equal wedges and lays them point up, point down into a near-rectangle. The wedges are very well behaved. What is the area of the cookie in square cm?

  3. Bo cuts a round pizza into equal wedges and lays them point up, point down into a near-rectangle. The slices lined up like a team. What is the area of the pizza in square cm?

  4. Use this

    Grid, each square 1 cm by 1 cm. A circle with its diameter 9 cm drawn across and its radius 4.5 cm drawn from the middle to the edge. Below it, the wedges laid out as a rectangle 4.5 cm tall and 3.14 radii wide.

  5. Milo's hand mirror is 9 cm across, so its radius is 4.5 cm. It checks for smudges. What is its area in square cm?

  6. Pia's dish is 25 cm across, so its radius is 12.5 cm. It has big dreams. What is its area in square cm?

  7. Use this

    Grid, each square 1.3 cm by 1.3 cm. A circle with its diameter 13 cm drawn across and its radius 6.5 cm drawn from the middle to the edge. Below it, the wedges laid out as a rectangle 6.5 cm tall and 3.14 radii wide.

  8. Ren's plate is 13 cm across, so its radius is 6.5 cm. It has a big attitude. What is its area in square cm?

  9. Use this

    Grid, each square 1 cm by 1 cm. A circle with its radius 5.5 cm drawn from the middle to the edge; the distance around it is 34.54 cm. Below it, the wedges laid out as a rectangle one radius tall and half the circumference wide.

  10. Tala's hand mirror has a radius of 5.5 cm and a circumference of 34.54 cm. It likes what it sees. What is its area in square cm?

  11. Zee's plate has a radius of 10 cm and a circumference of 62.8 cm. It would like to be a frisbee. What is its area in square cm?

  12. Use this

    Grid, each square 1 cm by 1 cm. A circle with its radius 6 cm drawn from the middle to the edge; the distance around it is 37.68 cm. Below it, the wedges laid out as a rectangle one radius tall and half the circumference wide.

  13. Ari's clock face has a radius of 6 cm and a circumference of 37.68 cm. Tick, tick, tidy. What is its area in square cm?

  14. Use this

    Grid, each square 4 cm by 4 cm. A circle with its radius 16 cm drawn from the middle to the edge; the distance around it is 100.48 cm. Below it, the wedges laid out as a rectangle one radius tall and half the circumference wide.

  15. Bo's pizza has a radius of 16 cm and a circumference of 100.48 cm. It has a lot of wedges. What is its area in square cm?

  16. Esme's pizza has a radius of 17.5 cm and a circumference of 109.9 cm. It is a very large pizza. What is its area in square cm?

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

See all grade 7 math

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