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[DOCX File]University of Florida
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standard form. of the equation that relates these elements is as follows: In the diagram above, the center of the circle occurs at ( 6 , 4 ) with a radius of 5 units. Hence, the standard form of the equation of this circle would be. If we were to expand this equation and put it into general form, then it would be . …
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[DOC File]Lesson 35 - Purdue University
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Given the equation of a circle in standard or general form, find the center and radius and graph the circle using both paper/pencil and graphing calculator approaches. (OPO #9) Apply the equation of a circle in a problem-solving situation. (OCBM #16) Calculate the area of a circle when its radius …
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[DOC File]Conic Sections – The Circle
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10) Give the equation of the circle whose center is (4,-3) and goes through (1,5) 11) Give the equation whose endpoints of a diameter at (-3,2) and (1, -5) Title
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Finding the Equation of a Circle in General Form
general equation for a circle. is an equation where the parentheses are cleared from the standard form (binomials are squared). General Equation of a Circle: Ex 1: Find the standard equation and general form of each circle described. Ex 2: Identify the center and length of radius for each circle.
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[DOC File]Summary of Lesson Lab: CIRCLES
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Once we know the center and radius of a circle, we can easily graph the circle. For additional points, find any intercepts and plot the points. Note that the y-coordinate of the center of the circle () is negative because . Objective 3: Converting the General Form of a Circle into Standard Form. The. general form of the equation of a circle ...
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[DOC File]Conic Sections – The Circle
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NOTE: If the equation of a circle is written in standard form, its center and radius can easily be read. 3. Sketch the graph of (x +8)2 + (y – 2)2 = 36 . Compare to (x – h)2 + (y – k)2 = r2. Remember, if an equation is written in general form, we can’t read the center and radius from it. Example: Find the center and radius of x2 + y2 ...
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[DOC File]Worksheet on Equations of Circles
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Radius = (62 Remember, if an equation is written in general form, we can’t read the center and radius from it. Example: Find the center and radius of x2 + y2 + 6x –2y – 26 = 0 (include domain and range, x-intercepts, y-intercepts) If this had been in standard form, the center and radius …
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[DOC File]Chapter 2 The Cartesian Coordinate System, Lines and Circles
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How do you convert from center-radius form to general form? How do you convert from general form to center-radius form? If you are only given two points on the circle, how can you find its equation? Module 12 (pp. 101-110) What is the domain and range of a line that is neither horizontal nor vertical? What about a horizontal line?
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Center radius to general form