# The radius of the first circle is 17 cm, and the radius of the second circle is 6 cm larger.

**The radius of the first circle is 17 cm, and the radius of the second circle is 6 cm larger. How many centimeters is the diameter of the first circle less than the diameter of the second circle?**

Let’s find what the diameter of the first circle is.

According to the condition of the problem, the radius of the first circle is 17 cm.

Since the diameter of any circle is 2 times the radius of this circle, the diameter of the first circle is 17 * 2 = 34 cm.

Find what the radius of the second circle is.

According to the condition of the problem, the radius of the second circle is 6 cm greater than the radius of the first circle, therefore, the radius of the second circle is 17 + 6 = 23 cm.

Then the diameter of the second circle is 23 * 2 = 46 cm.

Therefore, the diameter of the second circle is 46 – 34 = 12 cm larger than the diameter of the first circle.

Answer: the diameter of the first circle is 12 cm less than the diameter of the second circle.