In a circle with a radius of 6 units, a chord is drawn that is 8 units long. What is the perpendicular distance from the center of the circle to the chord?
To solve this problem, recall that the perpendicular distance from the center of a circle to a chord divides the chord into two equal segments and forms a right triangle with the radius as the hypotenuse. You can use the Pythagorean theorem to find the distance.