Question

Write the equation of each circle with the given center and radius. Center $(-5,2)$, radius 3

Name: Problem 72, Chapter 10: Intermediate Algebra for College Students
Uploaded: 2020-06-07T14:52:24-08:00
Duration: 1 min 8 s
Channel: Mary Brese
Description: Write the equation of each circle with the given center and radius. Center (-5,2), radius 3

   Write the equation of each circle with the given center and radius.
Center $(-5,2)$, radius 3

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 10, Problem 72

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Solved by Expert Mary Brese

06/07/2020

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Write the equation of each circle with the given center and radius. Center $(-5,2)$, radius 3

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Key Concepts

Standard Equation of a Circle

The standard equation of a circle is expressed as (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is its radius. This formula allows you to represent all the points (x, y) that are at a distance r from the fixed center.

Role of the Center and Radius

Identifying the center and radius is crucial because they directly substitute into the circle's equation. The center (h, k) shifts the circle to its correct position in the coordinate plane, while the radius r determines its size by being squared on the right-hand side of the equation.

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