Most Video Games Need to Determine Whether Two Objects Touch $(5,30)$

True/False

Most video games need to determine whether two objects touch, such as a character and a wall or a missile and an asteroid; this is known as collision detection. One method for doing this is to find a circle that bounds each object. If the distance between the centers of the two objects is less than or equal to the sum of the two radii of the circles that the objects are bounded by, the two objects are touching. Determine whether Object 1 with radius 9 pixels and center at $(5,30)$ touches Object 2 with radius 10 pixels and œenter at $(15,45)$ .