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.

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)

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)

Equations of Circles10.6

Write the equation of a circle.

Equations of Circles10.6

Write the equation of a circle.

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.

Equations of Circles10.6

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

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.

Equations of Circles10.6

Answer:

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

Equations of Circles10.6

Answer:

a. Graph

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

Equations of Circles10.6

Answer:

b. Graph

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

Equations of Circles10.6

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

Equations of Circles10.6

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

Equations of Circles10.6

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

Equations of Circles10.6

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