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10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

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Page 1: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

___ ___ ___      ___ ___ ___       ___ ___       ___ ___ ___ 

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HET TSEO  F

A

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SNOTPI ATTH ERA

QUALE CITENDSA

FORM NVIIG OPINT

(x,y)

Page 2: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

1 What is the radius of the following circle?

(2,1)

(x,y)

Page 3: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

(h,k)

(x,y)

2 What is the center of a circle below?

A (4,9)

B (­4,­9)

C (4,­9)

D (­4,9)

Page 4: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

Graph the circle below on a coordinate plane.

Name the equation of the circle seen below.

Page 5: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

Completing the Square Practice

10­3 Completing the square practice.ks­ia2

Write the equation of the circle below in h­k form.  

Page 6: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

Write the equation of the circle below in h­k form.  

Page 7: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

3 The midpoint of a circle's diameter would be its _____________.

A vertex

B radius

C circumference

D center

4 The distance from a circle's center to an endpoint of one of its diameters would be equivalent to the circle's _____________ .

A vertex

B radius

C circumference

D center

Page 8: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

Find the equation of a circle which has a diameter with endpoints (5,5) & (­1,­3).

Find the equation of a circle which has its center at (­2,5) and passes through (4,3).

Page 9: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

Text pg 402­403: 2­16, 22­28 EVENS

Given a circle centered at the origin, find an equation in standard form of the line tangent to the circle at the point (3,4).

Page 10: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

10­3 Equation of a Circle Notes.notebook

Find an equation in standard form of the line tangent to the circle (x­2)2 + (y­5)2 = 25 at the point (­2,2). 

Text pg 403: 33­35

Circles Practice Worksheet

AND

THEN

MathXL!

Page 11: 10-3 Equation of a Circle Notes.notebook - hatboro · PDF fileWrite the equation of the circle below in h­k form. 10­3 Equation of a Circle Notes.notebook 3 The midpoint of a circle's

Attachments

10­3 Completing the square practice.ks­ia2