What is the area of the shaded portion of the circle? (5π – 11.6) ft2 (5π – 5.8) ft2 (25π – 11.6) ft2 (25π – 5.8) ft2

The complete question in the attached figure

 we know that
radius of a circle r=5 ft
Area of a circle=pi*r²--------> pi*5²------> 25pi ft²

if the area of 360° (full circle) is------------> 25pi
  72°  (central angle)------------------> X
X=72*25pi/360-------------> 5pi ft²

the area of triangle=2.9*4----------> 11.6 ft°
then
the area of the shaded portion of the circle=[5pi-11.6] ft²

the answer is
the area of the shaded portion of the circle is [5pi-11.6] ft²

The answer for this is 9/1253decimal form 0.007