How to Find the Equation of a Circle


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question 1 of 3

Write the Standard Form of the equation for a circle centered at point (4 , 6) and has a radius of 10.

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1. Write the Standard Form of the equation for a circle centered at point (-2 , -8) and has a radius of 4.


Convert the following Standard Form equation to an equation in General Form:

(x - 7)^2 + (y + 3)^2 = 49

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About This Quiz & Worksheet

This quiz and worksheet can help you quickly assess your understanding of finding the equation of circles. Topics you need to be familiar with to pass the quiz include Standard Form and General Form.

Quiz & Worksheet Goals

Use these assessment tools to check your knowledge of:

  • General Form
  • Standard Form
  • Finding the equation of a circle
  • Converting equations

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related circles lesson
  • Problem solving - use acquired knowledge to answer circle practice problems
  • Information recall - access the knowledge you have gained regarding finding the equation of a circle

Additional Learning

To learn more about equations of a circle, review the accompanying lesson How to Find the Equation of a Circle. This lesson covers the following objectives:

  • Find the equation of a circle
  • Compare and contrast Standard Form and General Form
  • Convert equations