Find the area of a ring bounded by concentric circles with radii equal to 14 √п and 10 √п

In order to find the area of a ring bounded by two concentric circles, you need to determine the areas of the circles bounded by these circles and subtract the area of the smaller circle from the area of the larger circle.
The area of a circle of radius r is π * r².
Therefore, the area of a circle of radius 14√π is π * (14√π) ² = 196 * π², and the area of a circle of radius 10√π is π * (10√π) ² = 100 * π².
Then the area of the ring bounded by two concentric circles of radius 14√π and 10√π is:
196 * π² – 100 * π² = 96 * π².
Answer: the area of this ring is 96 * π².