Answer with Step-by-step explanation:
The radius of the bull’s-eye of the dartboard is 8 inches.
The radius of each concentric circle is 8 inches more than the radius of the circle inside it.
Radius of first circle=8 in.
Radius of second circle=16 in.
Radius of third circle=24 in.
Radius of fourth circle=32 in.
Area of C=Area of the third circle-Area of second circle
= π×24×24-π×16×16
= 320π sq. in.
Total area of dartboard=Area of fourth circle=π×32×32
=1024π sq. in.
P( the dart will hit in area C)= area of c/total area of dart board
=320π/1024π
= 5/16
Hence, correct option is:
B.5/16