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The Fascinating World of Pi

Discover the significance of Pi, the ratio of a circle's circumference to its diameter. Explore its approximate value, mathematicians' attempts to calculate it accurately, and learn how to find the circumference and area of a circle.

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The Fascinating World of Pi

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  1. p is the symbol used for this special number Pi is its name (Say it as `pie') p comes from working with circles. p is the ratio of the circumference of a circle to its diameter. This means that you can work out p by dividing distance around a circle by the length of its diameter.

  2. It works for every single circle in the world FACT

  3. The strange thing is that the answer you get can only ever be approximate - that is, you can never have an exact value for pi. This has fascinated mathematicians for a very long time and they have kept trying to find ways to calculate values for pi that are more accurate. p = 3.14159   26535   89793   23846   26433   83279   50288   41972   ... ``May I have a large container of coffee?''

  4. ``Now I will a rhyme construct, By chosen words the young instruct. Cunningly devised endeavour, Con it and remember ever. Widths in circle here you see, Sketched out in strange obscurity.''

  5. Learning Objective: To find the circumference and area of a circle The Circle

  6. Circumference = π× diameter Circumference circumference diameter

  7. Area = π× radius × radius = π× radius2 Area radius area

  8. Circumference is π x diameter π x diameter π x diameter Circumference is π x diameter Area is πr2

  9. Circumference = π× diameter Example 1 Find the circumference of this circle circumference Circumference = π× 4 = 12·57cm (2 d.p.) 4cm

  10. Circumference = π× diameter Example 2 Find the circumference of this circle circumference Circumference = π× 16 = 50·27cm (2 d.p.) 8cm

  11. Area = π× radius × radius Example 1 Find the area of this circle 7cm Area = π× 7 × 7 = 153·94cm² (2 d.p.) area

  12. Area = π× radius × radius Example 2 Find the area of this circle 10cm Area = π× 5 × 5 = 78·54cm² (2 d.p.) area

  13. Circumference = π× diameter Circumference = π× 9 = 28·27cm (2 d.p.) Question 1 Find the circumference and area of this circle 9cm Area = π× radius × radius Area = π× 4·5 × 4·5 = 63·62cm² (2 d.p.)

  14. Circumference = π× diameter Circumference = π× 12 = 37·70cm (2 d.p.) Question 2 Find the circumference and area of this circle 6 cm Area = π× radius × radius Area = π× 4·5 × 4·5 = 113·10cm² (2 d.p.)

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