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Master how to determine the center and radius of a circle by completing the square

Master how to determine the center and radius of a circle by completing the square

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to determine the center and radius of a circle from its equation in standard form by using the method of completing the square. It begins with an introduction to the concept and then provides a detailed explanation of the process. Two examples are given: the first is a basic example, and the second is more advanced, demonstrating how to handle more complex equations. The tutorial emphasizes the importance of grouping terms and creating perfect square trinomials to simplify the equation into a binomial squared form.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to rewrite the equation of a circle when the Y term is by itself.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the radius of a circle from its equation?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the coefficients in the standard form of a circle's equation and the center coordinates?

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