In this lesson, we will learn how to find the equation of a circle using its center and a given point.

Q1:

A circle has center and goes through the point . Find the equation of the circle.

Q2:

A circle centered at the origin goes through the point (1, 1).

Work out the equation of the circle.

Determine the value of when .

Is the point on the circle?

Q3:

Q4:

Determine the equation of a circle that passes through the point if its center is .

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Q7:

What is the equation of the circle of center and passing through ?

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Q20:

Determine the equation of a circle that passes through the point if its center is