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 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 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 line segment has endpoints (0,4) and (5,6). What are the coordinates of the midpoint?

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

In the figure above, is a square and is three times the length of . What is the area of ?

If it is 4:00, what is the measure of the angle between the minute and hour hands of the clock?

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 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?

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?