Section 2-8

# Section 2-8 - through the center is called the diameter ....

This preview shows pages 1–3. Sign up to view the full content.

2.8 – Distance and Midpoint Formulas; Circles The distance between any two points can be found using the formula 2 1 2 2 1 2 ) ( ) ( y y x x d ! " ! # . ! Example 1 Given the two points (-4,9) and (1,-3), find the distance between them. " The midpoint of the line segment from ) , ( 1 1 y x to ) , ( 2 2 y x can be found using the formula \$ % ( ) " " 2 , 2 2 1 2 1 y y x x . ! Example 2 Given a line segment with endpoints at (1,2) and (7,-3), find the midpoint. "

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

View Full Document
An application that involves both the distance and the midpoint is the circle . A circle is the set of all points in a plane that are equidistant from a fixed point called the center . The fixed distance from the circle’s center to any point on the circle is called the radius . A line segment drawn from a point to another point on the opposite side of the circle that passes
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: through the center is called the diameter . The center is the midpoint of every diameter line segment. Equations of Circles Assume that the circle has a center at ) , ( k h and a radius equal to r . 1. General Form: 2 2 # &amp;quot; &amp;quot; &amp;quot; &amp;quot; F Ey Dx y x 2. Standard Form: 2 2 2 ) ( ) ( r k y h x # ! &amp;quot; ! Use completing the square to convert from general form to standard form. ! Example 3 Given the equation 16 ) 2 ( ) 1 ( 2 2 # ! &amp;quot; &amp;quot; y x , find the center and radius. Sketch the graph. &amp;quot; ! Example 5 Given the equation of the circle 4 6 12 2 2 # ! ! &amp;quot; &amp;quot; y x y x , find the center and radius. &amp;quot;...
View Full Document

## This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Staff during the Spring '08 term at University of Central Florida.

### Page1 / 3

Section 2-8 - through the center is called the diameter ....

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online