We have to apply the formula to calculate the area of a circle. Area = π *R²
But since they have given us the diameter we have to divide it by two to obtain the radius.
R = diameter/2 = 8inches/2 = 4inches
Now we apply this value in the area formula :
Area = π *R² = (4 inches)²*π = 16inches²π = 16 π square inches
Answer A] : C.) 16 π square inches
If a 2-inch frame surrounds the figure, then we now have a circle with the radius increased by 2 inches.
R = 4 inches + 2 inches = 6 inches
Now we apply this new value in the area formula :
Area = π *R² = (6 inches)²*π = 36inches²π = 36 π square inches
Answer B] = C.) 36 π square inches
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]