Section 10.6 Equation of Circles

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Section 10.6 Equation of Circles Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph to solve problems.

Example 1 Writing Equations of Circles: Center and Radius Example 2 Writing Equations of Circles: Center and Any Point Example 3 Graphing A Circle Example 4 Applying Graphs of Circles Standard 21.0 Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. (Key) Lesson 7 Contents

Write the equation of a circle. Find the length of r To write the equation of a circle need: 1. Radius 2. Center of Circle (h, k)

Write the equation of a circle.

Write the equation of a circle.

Write an equation for each circle. a. center at (0, –5), d 18 Write the equation of a circle. Write an equation for each circle. a. center at (0, –5), d 18 b. center at (7, 0), Goes through (27, 0) Answer: Answer: Example 8-1c

Use the equation of a circle and its graph to solve problems.

Write the expression in standard form. Use the equation of a circle and its graph to solve problems. Graph Write the expression in standard form. The center is at (3, 0), and the radius is 4. Draw a circle with radius 4, centered at (3, 0). Example 8-3c

Answer: Use the equation of a circle and its graph to solve problems. Example 8-3d

Use the equation of a circle and its graph to solve problems. a. Graph Answer: Example 8-3e

Use the equation of a circle and its graph to solve problems. b. Graph Answer: Example 8-3f

Use the equation of a circle and its graph to solve problems.

Use the equation of a circle and its graph to solve problems.

Use the equation of a circle and its graph to solve problems.

HW # 44 Pg 638-640 8-40 even, 47, 49