Answer:
it has 6 faces
Step-by-step explanation:
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Centralangle/360 times area of circle=sector area
120/360 times pi8²=
(1/3)(64pi)=64pi/3 square inches
