Homework: p. 319 1,3,7,15,19 21,27,31,33,37,41,43,49,53,55,57.

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Presentation transcript:

Homework: p ,3,7,15,19 21,27,31,33,37,41,43,49,53,55,57

Famous Formulas… Distance: Midpoint: Circle: Set of all points in a plane that are equidistant from a fixed point (center). The fixed distance from the circle’s center to any point on the circle is the radius.

More famous formulas… Standard form of equation for a circle: Example: Calculate the exact distance between (-1,4) and (3, -2)

Exa mple: Find the midpoint of the segment with endpoints (1, -6) and (-8, -4). Example: Write the equation of the circle located at (0,0) with a radius of 2. Example: Write the equation of the circle with a center at (-2, 3) and a radius of 4. Example: Find the center and the radius of the circle whose equation is:

And yet another cool equation… General Form of the Equation of a Circle: To convert the general equation into the standard equation…we will be using completing the square!! Example: Write the equation in standard form and graph:

One more example…Write the equation in standard form and graph: Whiteboard Problems: 1.Find the exact distance between the pair of points: (2, -3) and (-1, 5). 2.Find the exact distance between the points. (-4, -1) and (2, -3). 3.Find the midpoint of the line segment with the given endpoints: (10,4) and(2,6). 4.Find the midpoint of the line segment with the given endpoints: (-2, -1) and (-8, 6).

More whiteboard problems: 5. Give the center and radius of the circle. 6. Use CTS to put the equation in standard form. 7. Use CTS to put the equation in standard form.