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: Graphing a Circle Graph (x + 3)2 + (y - 2)2 = 4.

Workbook example Turn to pages 528 to complete example 2

Example 5: 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 5: Geology

Honors 12 – 7 Assignments Primary assignment: Part A: textbook pgs 850 – 851 #3 – 6, 16 – 20 Part B: workbook pg533 #1 – 6 Submit answers on Quizizz.com by Tues @ 7AM 12-7 Codes: Period 2 – 790083 Period 4 – 270896 Period 6 – 714048 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 Submit answers on Quizizz.com by Mon @ 7AM 12-7 Codes: Period 1 – 582191 Period 5 – 683143 Period 7 – 315494 Secondary Assignment: Workbook pg535 #1, 2, 4, pg536 #4, 6, 7