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Math 9 · Unit 7: Shapes and measurements · Cambridge Lower Secondary Maths Stage 9

7.1 Circumference and area of a circle

38 questions · e.g. Perimeter of a semicircle of diameter 12 cm

Practice

Questions

  1. 1. Using π = 3.14, what is the circumference of a circle with diameter 6 cm?

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  2. 2. Using π = 3.14, what is the circumference of a circle with diameter 5 cm?

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  3. 3. Using π = 3.14, what is the circumference of a circle with diameter 9 cm?

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  4. 4. Using π = 3.142, what is the circumference of this circle, to 2 d.p.?

    4 cm
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  5. 5. Using π = 3.142, what is the perimeter of a semicircle with diameter 12 cm, to 2 d.p.?

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  6. 6. Using π = 3.14, what is the area of a circle with radius 4 cm?

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  7. 7. Using π = 3.14, what is the area of a circle with radius 1 cm?

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  8. 8. Using π = 3.14, what is the area of a circle with radius 6 cm?

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  9. 9. Using π = 3.142, what is the area of a circle with diameter 6 cm, to 2 d.p.?

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  10. 10. Using π = 3.142, what is the area of this semicircle, to 1 d.p.?

    5 cm
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  11. 11. What is the area of a circle with radius 2 cm, to 3 s.f.?

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  12. 12. What is the area of a circle with radius 3.75 m, to 3 s.f.?

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  13. 13. What is the area of a circle with diameter 28 cm, to 3 s.f.?

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  14. 14. What is the area of a circle with diameter 3.2 m, to 3 s.f.?

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  15. 15. Dipti and Gabir work out the area of a circle with diameter 2.4 cm. What mistakes did they make?

    DiptiArea = πr²r² = 2.4² = 5.76Area = π × 5.76 = 18.0955Area = 18.1 cm² (3 s.f.)GabirArea = πdd = 2.4Area = π × 2.4 = 7.5398Area = 7.54 cm² (3 s.f.)
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  16. 16. What is the area of a circle with diameter 2.4 cm, to 3 s.f.?

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  17. 17. A circle has radius 2.7 cm. What are its area and its circumference, to 1 d.p.?

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  18. 18. A circle has diameter 45 mm. What are its area and its circumference, to 1 d.p.?

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  19. 19. A semicircle has radius 8.5 cm. What are its area and its perimeter, to 1 d.p.?

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  20. 20. A semicircle has radius 24 mm. What are its area and its perimeter, to 1 d.p.?

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