geometry

Radius of small circle =  5 yd

Area =  pi (5)^2 = 25 pi

Radius of large circle =   (5 + 11) yd =  16 yd

Area  = pi (16)^2  = 256 pi

Shaded area =  (256 - 25) pi  =  231 pi  =  231 * 3.14 =   725.34 yd^2

Small circle = 10 / 2 = 5

Small circle area = 3.14 * 5 * 5 = 78.5

Large circle = 5 + 11 = 16

Large circle area = 3.14 * 16 * 16 = 803.84

Shaded area = 803.84 - 78.5 = 725.34 yd^2

2r, = 10 yd

r1 = 5yd

r2 = r1 + 11yd

    = 5 + 11 yd

r2 = 16 yd

Area of Shaded region

          = 3.14r2²- 3.14r1²

          = 3.14 (r2²-r1²)

          = 3.14 (16² - 5²)

          = 3.14 (231)

          = 725.34 yd²