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Circles: around and inside: 7th grade math

Circle circumference and area. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: circle circumference and area.

Teach (10 min)

  • Circumference is the distance around. C = π × d, and the diameter is twice the radius, so C = 2 × π × r.
  • Example: d = 10 cm gives C = 3.14 × 10 = 31.4 cm. We use 3.14 for π.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/shapes.circumference?lesson=7-shapes-circumference-1&at=7

Exit ticket (5 min)

  • Use the first three questions on the printable sheet as a slip.

Printable sheet

Name: ____________________   Date: ____________

Circles: around and inside (7th grade)

  1. A circular rug has a diameter of 5 ft. What is its circumference? Use 3.14 for π.
    d = 5 ft
  2. A circle has a diameter of 8 ft. What is its circumference? Use 3.14 for π.
    d = 8 ft
  3. A round table has a radius of 3 ft. What is its circumference? Use 3.14 for π.
    r = 3 ft
  4. A circular garden has a radius of 6 ft. What is its circumference? Use 3.14 for π.
    r = 6 ft
  5. A round pizza has a radius of 10 in. What is its circumference? Use 3.14 for π.
    r = 10 in
  6. A circular pond has a radius of 9 m. What is its circumference? Use 3.14 for π.
    r = 9 m
  7. A round table has a diameter of 6 ft. What is its circumference? Use 3.14 for π.
    d = 6 ft
  8. A round clock has a circumference of 87.92 in. What is its diameter? Use 3.14 for π.
    C = 87.92 in
  9. A round table has a circumference of 56.52 ft. What is its diameter? Use 3.14 for π.
    C = 56.52 ft
  10. A bicycle wheel has a radius of 12 cm. What is its circumference? Use 3.14 for π.
    r = 12 cm
  11. A round pizza has a diameter of 7 in. What is its circumference? Use 3.14 for π.
    d = 7 in
  12. A circle has a circumference of 119.32 cm. What is its radius? Use 3.14 for π.
    C = 119.32 cm
Key
  1. 15.7 ft
  2. 25.12 ft
  3. 18.84 ft
  4. 37.68 ft
  5. 62.8 in
  6. 56.52 m
  7. 18.84 ft
  8. 28 in
  9. 18 ft
  10. 75.36 cm
  11. 21.98 in
  12. 19 cm

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