Write the standard form of the equation of the circle that passes through the point
(0, 1) with its center at the origin.

The standard form of the equation of the circle is .

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

where r is the radius of the circle,  and h, k are the coordinates of its center.

When the center of the circle coincides with the origin , so

We are also told that the circle contains the point  (0, 1), so we will use that information to find the radius r.

Therefore, the standard form of the equation of the circle is .

step-by-step explanation:

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