©G Dear 2009 – Not to be sold/Free to use

Slides:



Advertisements
Similar presentations
Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Calculating Tax Stage 6 - Year 11 General Mathematics Preliminary.
Advertisements

1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Area Formulas and Practical Problems Stage 6 - Year 11 Applied Mathematic (Preliminary General.
Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Cosine Rule Angles Stage 6 - Year 12 General Mathematic (HSC)
1 One Steppers Press Ctrl-A G Dear ©2009 – Not to be sold/Free to use Stage 4 Year 7.
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)
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Latitude & Longitude Stage 6 - Year 12 General Mathematics HSC.
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Distances along the Earth Surface Stage 6 - Year 12 General Mathematics HSC.
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Arc Length Stage 6 - Year 12 General Mathematics HSC.
1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use Intro Stage 6 - Year 11 General Mathematics Preliminary.
Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Radial Survey Stage 6 - Year 12 General Mathematic (HSC)
Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Sine Rule - Side Stage 6 - Year 12 General Mathematic (HSC)
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Latitude and Longitude Stage 6 - Year 12 General Mathematics HSC.
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Surveying Stage 6 - Year 11 General Mathematics Preliminary.
G Dear ©2009 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©2009 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
G Dear ©2009 – Not to be sold/Free to use
11.7 Circles in the Coordinate Plane
G Dear ©2009 – Not to be sold/Free to use
©2009 G Dear – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear2010 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
G Dear ©2010 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
Reducible to Quadratics
Solving by Factorising
©G Dear2008 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
G Dear ©2010 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
G Dear ©2009 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
G Dear ©2009 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
Presentation transcript:

©G Dear 2009 – Not to be sold/Free to use Spherical Geometry General Mathematics HSC Great Circles and Small Circles Stage 6 - Year 12 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use

Any circle passing through the poles. Great Circles (1/4) Any circle passing through the poles. North Pole Great Circle (Equator) Axis South Pole

Length of Great Circles (2/4) Diameter Radius D 2r C = r = 20 cm C = 2xx20 ≈ 126 cm D = 20 cm C =  x 20 ≈ 62.8 cm Press

Any circle perpendicular to the axis. Small Circles (3/4) Any circle perpendicular to the axis. Axis A Series of Small Circles Press

Small Circles (4/4) C = 2  r = 2 x  x 5 = 31.4 cm To calculate the length of the small circle we need to know the length of its radius. r C = 2  r 5cm = 2 x  x 5 = 31.4 cm