Rigor - Write equations and graph circles in the coordinate plane, and use the equation and graph of a circle to solve problems. Relevance – signal coverage,

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Rigor - Write equations and graph circles in the coordinate plane, and use the equation and graph of a circle to solve problems. Relevance – signal coverage, search radius, triangulation

The equation of a circle is based on the Pythagorean Theorem and the fact that all points on a circle are equidistant from the center. Turn to workbook pg 527 to derive the equation of a circle formula

Example 1: Writing the Equation of a Circle Write the equation of J with center J (2, 2) and radius 4.

Example 2: Writing the Equation of a Circle Write the equation of K that passes through J(6, 4) and has center K(1, –8).

If you are given the equation of a circle, you can graph the circle by identifying and graphing its center and radius.

Example 3: Graphing a Circle Graph (x – 3)2 + (y + 4)2 = 9.

Example 4: Geology A seismograph measures ground motion during an earthquake. To find the epicenter of an earthquake, scientists take readings in 3 different locations. Then they draw a circle centered at each location. The radius of each circle is the distance the earthquake is from the seismograph. The intersection of the circles is the epicenter. Use the data to find the epicenter of the New Madrid earthquake.

Example 4: Geology

Workbook example Turn to pages 528 to complete example 2

Honors 12 – 7 Assignments Primary assignment: Part A: textbook pgs 850 – 851 #3 – 6, 16 – 20 Part B: workbook pg533 #1 – 6 Periods 1 & 5: due Thursday Period 6: due Friday Secondary Assignment: Workbook pg535 #1 – 5, pg536 #2 – 7

Standard 12 – 7 Assignments Primary assignment: Part A: textbook pgs 850 – 851 # 3 – 6, 16, 19, 20 Part B: workbook pg533 #1 – 5 Due Friday Secondary Assignment: Workbook pg535 #1, 2, 4, pg536 #4, 6, 7