ANSWER
[tex]48.92\text{ square units}[/tex]
EXPLANATION
Each dissected section of the circle can be said to be a triangle.
This implies that the approximate area of the circle is the area of the 16 dissected sectors.
To find the area of one dissected sector, apply the formula for the area of a triangle:
[tex]A=\frac{1}{2}*b*h[/tex]
where b = base length
h = height
Hence, the area of one triangle is:
[tex]\begin{gathered} A=\frac{1}{2}*1.56*3.92 \\ \\ A=3.0576\text{ square units} \end{gathered}[/tex]
Therefore, the approximate area of the circle is:
[tex]\begin{gathered} A=16*3.0576 \\ A=48.92\text{ square units} \end{gathered}[/tex]
That is the answer.
