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If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the cent of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation. Find the center-radius form for the circle having the endpoints (7,4) and (-3,8) of a diameter.

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the cent of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation. Find the center-radius form for the circle having the endpoints (7,4) and (-3,8) of a diameter.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 4CC
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If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the cente of the circle, Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation. Find the center-radius form for the circle having the endpoints (7,4) and (- 3,8) of a diameter. (x-2 + (y-6 = 29 (Type an equation.) uts ntents m (optiot ok nedia Librai Enter your answer in the answer box. ning Resourc essible Resources P Search for anything O H 6:10 5/8/20 DELL DI prt sc home end insert delete F12 & 7. 4. 6 7. back E Y U G K ctri
Transcribed Image Text:If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the cente of the circle, Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation. Find the center-radius form for the circle having the endpoints (7,4) and (- 3,8) of a diameter. (x-2 + (y-6 = 29 (Type an equation.) uts ntents m (optiot ok nedia Librai Enter your answer in the answer box. ning Resourc essible Resources P Search for anything O H 6:10 5/8/20 DELL DI prt sc home end insert delete F12 & 7. 4. 6 7. back E Y U G K ctri
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