A square on the coordinate plane has as its vertices the points with coordinates , , , and . Give the equation of the circle inscribed inside this square.

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

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?

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 square on the coordinate plane has vertices at the points with coordinates , , , and . Give the equation of the circle that circumscribes the square.

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?

The above figure shows a circle on the coordinate axes with its center at the origin. has length .

Give the equation of the circle.

The provided figure shows a circle on the coordinate axes with its center at the origin. is a arc with length

Give the equation of the circle.

The above circle has area . Give its equation.