SOLUTION
Circumference is the distance around a plane shape. So, it also measures length.
Length and area of two similar shapes are related by the formula
[tex]\frac{A_1}{A_2}=(\frac{l_1}{l_2})^2[/tex]Where the A in both cases represents area and the L represents length. But here the Ls will represent circumference.
Since the circumference of the circle increased by 50%, then the new circumference becomes
[tex]\begin{gathered} l_2=l_1+0.5l_1 \\ l_2=1.5l_1 \end{gathered}[/tex]So, we have
[tex]\begin{gathered} \frac{A_1}{A_2}=(\frac{l_1}{l_2})^2 \\ \frac{A_1}{A_2}=(\frac{l_1}{1.5l_1_{}})^2 \\ \frac{A_1}{A_2}=\frac{l^2_1}{1.5^2l^2_1_{}} \\ \frac{A_1}{A_2}=\frac{1}{2.25} \end{gathered}[/tex]This becomes
[tex]A_2=2.25A_1[/tex]Now subtracting from the original area then
[tex]2.25-1=1.25_{}[/tex]This means that the area was increased by 1.25, which means 125%
Hence option B is the correct answer
