The length of the chord is 96, and the distance from the center of the circle to this chord is 20. Find the diameter of the circle.

To solve this problem, we introduce the conditional variable “X”, through which we denote the radius of the circle.

Then, applying the Pythagorean theorem and based on the data of the problem, we will compose the following equation: X x X = 20 x 20 + 96/2 x 96/2.

Solving this equation, we get X = √ (400 + 2304) = √2704 = 52.

Therefore, the diameter of the circle is 52 x 2 = 104.

Answer: the diameter of the circle is 104.