We have a square with length 2 sitting in the first quadrant with one corner touching the origin. If the square is inscribed inside a circle, find the equation of the circle.

A circle with a radius of five is centered at the origin. A point on the circumference of the circle has an x-coordinate of two and a positive y-coordinate. What is the value of the y-coordinate?

A circle has its origin at . The point is on the edge of the circle. What is the radius of the circle?

A circle exists entirely in the first quadrant such that it intersects the -axis at . If the circle intersects the -axis in at least one point, what is the area of the circle?

The endpoints of a diameter of circle A are located at points and . What is the area of the circle?

What is the equation for a circle of radius 12, centered at the intersection of the two lines:

y_1 = 4_x + 3

and

y_2 = 5_x + 44?

A circle is centered on point . The area of the circle is . What is the equation of the circle?

Which of the following equations describes all the points (x, y) in a coordinate plane that are five units away from the point (–3, 6)?

If the center of a circle is at (0,4) and the diameter of the circle is 6, what is the equation of that circle?

A circle has a center at (5,5) and a radius of 2. If the format of the equation for the circle is (x-A)2+(y-B)2=C, what is C?