To write: The standard form of the equation of the circle that passes through the points with the coordinates
Answer to Problem 30E
Explanation of Solution
Given information: The coordinates
Calculation:
Points
Plug in the 3 points to create 3 equations which we can use to solve the system to find all of the missing values.
Remember the form:
Set 1st 2 equations equal to each other: because they both equal
Set the 1st and 3rd equations equal: because they also both equal
Set these 2 results equal because they both equal r2
You know the center
Plug these values for h and k into any of the equations to find r .
Standard form:
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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