equations of circles 10.6 chapter 10 circles section 10.6 equation of circles write the equation of...

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Equations of Circles 10. 6 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 pro

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Page 1: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Chapter 10Circles

Section 10.6

Equation of Circles

Write the equation of a circle.

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

Page 2: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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 CirclesStandard 21.0

Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. (Key)

Page 3: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Find the length of r

22 )()( kyhxr

Write the equation of a circle.

To write the equation of a circle need:1. Radius2. Center of Circle (h, k)

Page 4: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Write the equation of a circle.

Page 5: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Write the equation of a circle.

Page 6: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Answer:

Write an equation for each circle.

a. center at (0, –5), d 18

b. center at (7, 0), Goes through (27, 0)

Answer:

Write the equation of a circle.

Page 7: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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

Page 8: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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).

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

Page 9: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Answer:

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

Page 10: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Answer:

a. Graph

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

Page 11: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

Answer:

b. Graph

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

Page 12: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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

Page 13: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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

Page 14: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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

Page 15: Equations of Circles 10.6 Chapter 10 Circles Section 10.6 Equation of Circles Write the equation of a circle. Use the equation of a circle and its graph

Equations of Circles10.6

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

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