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

Give the equation of the circle.

The above circle has area . Give its equation.

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

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

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.

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

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.