L03_blanks - Day 04 Lecture 03 for 1/17/2011 Angle Measures...

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1 Day 04 Lecture 03 for 1/17/2011 Angle Measures The 2-D Distance Formula The Pythagorean Theorem: For a right triangle with hypotenuse of length c and sides of lengths a and b , we have The distance between two points A = (x 1 ,y 1 ) and B = (x 2 ,y 2 ) can be derived from the 1-d distance formula and the Pythagorean theorem. Slide: 2 of 12 is 0
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The equation of a Circle The 2-D distance formula, can be used to derive the equation of a circle. A circle is a set of points in the plane that are a fixed distance r , called the _________, from a fixed point (h, k) , the __________ of the circle. Slide: 3 of 12 is 0 The Standard Equation of a Circle The Standard Form of the equation of a circle with radius r and center (h,k) : The ______ ____________ is centered at the origin and has a radius of 1 . Ex: If P = (-2, 4) and Q = (4, -3) , find the distance between P and Q. Ex: Describe the graph of (x+1) 2 +(y-2) 2 =9 . Slide: 4 of 12
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This note was uploaded on 08/01/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.

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L03_blanks - Day 04 Lecture 03 for 1/17/2011 Angle Measures...

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