mac1105_lecture11_1

# mac1105_lecture11_1 - L11 Circles Lines Circle A circle is...

This preview shows pages 1–6. Sign up to view the full content.

101 L11 Circles; Lines Circle A circle is the set of all points in the xy -plane which are a fixed distance r , radius , from a fixed point ( , ) hk , center of the circle . The standard form of an equation of a circle with radius r and center ( , ) is 22 2 () ( ) x hy k r +− = . The standard form with center at the origin : The equation of the Unit Circle : The general form of the equation of a circle :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
102 Example : Describe the graph of 22 8 xy + = . Example : Graph the equation ( 3) ( 4) 25 −+ + = . Example : Find the standard form of the equation of the circle with 1) center at the point ( 5,2) and radius 6 2) center at the point ( 4,6) and passing through the point (1,2)
103 3) endpoints of a diameter at ( 2,4) and (4, 6) Rewrite the last equation in general form:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
104 Example : Write the equation in standard form. If the equation represents a circle, identify its center and radius. Find the intercepts, if any. Graph the equation. 22 991 2 6 4 0 xy x y ++− + =
105 Lines Slope of a Line: The slope m of a nonvertical line L is a quotient of the change in y , Rise , over the

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 10

mac1105_lecture11_1 - L11 Circles Lines Circle A circle is...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online