SAT Math: Geometry and Trigonometry

A circle's center is at (1, -2) and it passes through the point (4, 2). What is the equation of the circle in standard form?

The diameter of a circle has endpoints at (2, 4) and (6, 8). What are the coordinates of the center of the circle?

Does the point (3, 4) lie on the circle defined by the equation $x^2 + y^2 = 25$?

Determine whether the point (2,3) lies inside, outside, or on the circle $(x-1)^2 + (y+1)^2 = 16$.

What are the center and radius of the circle defined by the equation $(x + 5)^2 + (y - 3)^2 = 9$?

The endpoints of a diameter of a circle are (1, 5) and (7, -3). What is the radius of the circle?

The equation of a circle is given by $x^2 + y^2 - 6x + 4y - 3 = 0$. What is the center of this circle?

Two points on a circle are (0, 0) and (4, 3). What is the distance between these two points?

A circle has a center at (1,1) and an area of $9\pi$. What is the equation of the circle?

A circle has its center at (0, 0) and a radius of 7. Which of the following equations represents this circle?