Answer: 14.1 cm
Step-by-step explanation:
The formula for the circumference (C) of a circle is:
C = 2πr, where r is the radius of the circle.
Let's calculate the circumference for both of the circles:
The circle with a diameter of 2.5 cm will have a radius of 1.25 cm, since the radius is half of the diameter. Let's plug the radius into the formula:
C = 2π(1.25)
C = 7.854
The larger circle with a diameter of 7 cm will have a radius of 3.5 cm.
C = 2π(3.5)
C = 21.991
Let's find the difference in the circumferences of the circles by subtracting their circumferences:
21.991 - 7.854 = 14.137
Rounded to the nearest tenth, this equates to 14.1.
