Answer:
Option B:
37.68 [tex]in^{2}[/tex]
Step-by-step explanation:
Given,
First Case:
Radius of outer circle = 4 in.
So, area of the outer circle
= π[tex]r^{2}[/tex]
= (3.14 × 4 × 4) [tex]in^{2}[/tex]
= 50.24 [tex]in^{2}[/tex]
Second Case:
Radius of the inner circle = 2 in.
So, area of the inner circle
= π[tex]r^{2}[/tex]
= (3.14 × 2 × 2) [tex]in^{2}[/tex]
= 12.56 [tex]in^{2}[/tex]
Therefore:
Area of the shaded region is
= Area of the outer circle - Area of the inner circle
= (50.24 - 12.56) [tex]in^{2}[/tex]
= 37.68 [tex]in^{2}[/tex](Ans)
