How many centimeters will the circumference increase if its radius is increased by 2 cm?

How many centimeters will the circumference increase if its radius is increased by 2 cm? Calculate for a circle with a radius of 1.5 cm.

Let’s use the formula: C = 2 * π * r, where C is the length and r is the radius of the circle.
First, let’s find the answer to the question for the general case. If the radius of the circle r is increased by 2 cm, then the resulting circle has a length: 2 * π * (r + 2 cm) = 2 * π * r + 2 * π * 2 cm = C + 4 * π cm.
The circumference has increased by 4 * π cm.
With r = 1.5 cm, the radius of the enlarged circle is: 1.5 cm + 2 cm = 3.5 cm.
Find the difference in lengths: 2 * π * 3.5 cm – 2 * π * 1.5 cm = 2 * π * (3.5 cm – 1.5 cm) = 4 * π cm.
Answer: 4 * π cm.



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