The largest chord of a circle is the diameter. The diameter of a circle is equal to twice the radius. Given that the radius of our circle is 24 cm, we can determine the length of the largest chord (the diameter) by doubling this.
Step-by-step, the processing will look something like this:
1. We know that the radius of the circle is 24 cm.
2. We recall the formula for the diameter of a circle, which is 2 * radius.
3. We substitute the radius of 24 cm into this formula to find the diameter.
4. By calculating 2 * 24 cm, we get 48 cm.
Given this, the length of the largest chord of the circle, also known as the diameter, is 48 cm, which corresponds to option 'd'.