{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Section 2-1.8 - through the center is called the diameter...

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

View Full Document Right Arrow Icon
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. "
Image of page 1

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

View Full Document Right Arrow Icon
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
Image of page 2
Image of page 3
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 # " " " " F Ey Dx y x 2. Standard Form: 2 2 2 ) ( ) ( r k y h x # ! " ! Use completing the square to convert from general form to standard form. ! Example 3 Given the equation 16 ) 2 ( ) 1 ( 2 2 # ! " " y x , find the center and radius. Sketch the graph. " ! Example 5 Given the equation of the circle 4 6 12 2 2 # ! ! " " y x y x , find the center and radius. "...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern