Street garden to build a circular flower bed, perimeter is 31.4 meters, in the flower bed around the construction of a 1 meter wide circular path. How much area of this path?

Street garden to build a circular flower bed, perimeter is 31.4 meters, in the flower bed around the construction of a 1 meter wide circular path. How much area of this path?

Inner radius 31.4 △ 3.14 △ 2 = 5m
Outer radius 5 + 1 = 6M
Area 3.14 × (6 × 6-5 × 5)
=3.14×11
=34.54 square meters