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p comes from working with circles.

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Presentation on theme: "p comes from working with circles."— Presentation transcript:

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 ``May I have a large container of coffee?''
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 =   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 To find the circumference and area of a circle
The Circle Learning Objective: To find the circumference and area of a circle

6 Circumference circumference Circumference = π × diameter diameter

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

8 Circumference is π x diameter Area is πr2

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

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

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

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

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

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


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