A circular flower bed in the park is 31.4 meters in circumference. Around the flower bed is a 1 meter wide circular path. What is the area of this path?

A circular flower bed in the park is 31.4 meters in circumference. Around the flower bed is a 1 meter wide circular path. What is the area of this path?

This figure can be seen as a ring, that is, two concentric circles
According to the perimeter of flower bed is 31.4 meters, perimeter = 2 π, r = 31.4, r = 5, area = π × 25
If the radius of the great circle is 1 + 5 = 6, the area of the great circle is π × 36
The area of the path is π × 36 - π × 25 = 11 π