1 press ctrl-a ©g dear2009 – not to be sold/free to use area of circles and elipses stage 6 -...

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1 Press Ctrl-A Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Area of Circles Area of Circles and Elipses and Elipses Stage 6 - Year 12 Stage 6 - Year 12 General Mathematic (HSC)

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Page 1: 1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Area of Circles and Elipses Stage 6 - Year 12 General Mathematic (HSC)

1Press Ctrl-APress Ctrl-A

©G Dear2009 – Not to be sold/Free to use

Area of CirclesArea of Circlesand Elipsesand ElipsesStage 6 - Year 12Stage 6 - Year 12

General Mathematic(HSC)

Page 2: 1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Area of Circles and Elipses Stage 6 - Year 12 General Mathematic (HSC)

2

Area of Circle

Radius

Area = r2

5 cm= x 52

= 25 cm2 (Exact)

≈ 78.54 cm2(Approx)2 decimal place

End ofEnd ofSlideSlide

Page 3: 1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Area of Circles and Elipses Stage 6 - Year 12 General Mathematic (HSC)

3

60o 5 cm

Area of Sector

r

Area = x r2

≈ 13.1 cm2(Approx)1 decimal place

360

Area = x x 5260

360

Fraction of the circle.

Area of the circle.

End ofEnd ofSlideSlide

Page 4: 1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Area of Circles and Elipses Stage 6 - Year 12 General Mathematic (HSC)

4

Area of an Annulus

Area = R2

= x 52

= 21 cm2 (Exact)

≈ 65.97 cm2(Approx)2 decimal place

Rr- r2

5cm2cm

- x 22

Annulus Grass Garden

Area of Large circle.

Area of small circle.

End ofEnd ofSlideSlide

Page 5: 1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Area of Circles and Elipses Stage 6 - Year 12 General Mathematic (HSC)

5

3cm

4cm

Area of an Ellipse

Area = ab

= x 3= 12 cm2 (Exact)

≈ 37.7 cm2(Approx)1 decimal place

x 4a

b

Drawing an EllipseEnd ofEnd ofShowShow