Rectangular Coordinates and Circles Every man dies, not every man really lives. -William Wallace

Due Dates Unit 1 (A.8 – 1.5) Test Monday 10/15 or Tuesday 10/16 Some changes and additions… Challenge Problems 2 and 3 due Th 10/11 or Fri 10/12 Study Guide due Tues 10/9 or Wed 10/10 Unit 1 (A.8 – 1.5) Test Monday 10/15 or Tuesday 10/16 Test corrections were due yesterday, so I’ll get those curve points in this week

Coordinate Plane y-axis Quadrant II x < 0, y > 0 Quadrant I x-axis Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0

Distance Formula Distance Formula

Midpoint Formula Midpoint Formula

Distance and Midpoint Practice Practice: Given the points (-9,5) and (4,2) 1) Find the length of the line segment joining the two points 2) Find the midpoint of the line segment joining the two points

Applying Distance Formula Verify that the triangle with the following vertices is a right triangle and find its area. A = (-6,3); B = (3, -5); C = (-1,5)

Equation of a Circle Standard Form: General Form:

Circle Practice 1) Write the standard form and general form of the equation of a circle with center at (4, -3) and radius r = 4

Circle Practice 2) Determine the center (h,k) and radius r of the given circle. Determine the intercepts and sketch the graph.

Circle Practice 3) Determine the equation in standard form and general form for the circle with endpoints of diameter at (4,3) and (0,1). 4) Determine the center (h,k) and radius r of the given circle. Determine the intercepts. Graph in the calculator to check your answer.

Rectangular Coordinates and Circles Pg 9 #35, 37, 55, 57, 65 Pg 49 #5, 13, 15, 23, 29 Every man dies, not every man really lives. -William Wallace