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Finding the Equation of a Circle with Specified Points and Center Location

In this guide, we will find the equation of a circle based on specific conditions. We have a point (2, 3) located on the circle, and the center of the circle lies on the line y = 3 and on the line x = -1. Additionally, the point (-1, 0) is also on the circle. Using these points and relationships, we will derive the equation of the circle step-by-step. This exercise will enhance your understanding of circle geometry and the relationships between points and centers.

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Finding the Equation of a Circle with Specified Points and Center Location

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  1. Sec. 2.4 Find the equation of the circle such that: (2,3) is a point on the circle.

  2. Sec. 2.4 Find the equation of the circle such that: Its center lies on the line y= 3.

  3. Sec. 2.4 Find the equation of the circle such that: Its center lies on the line x= -1.

  4. Sec. 2.4 Find the equation of the circle such that: (-1,0) is a point on the circle.

  5. Sec. 2.4

  6. Sec. 2.4

  7. Answers 2.4 or

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