Given
The diameter is given XY = 5.4 mm.
Explanation
To determine the area of circle,
Use the area of circle formula.
[tex]A=\pi(r)^2[/tex]
Find the radius, using the relation between diameter and radius.
[tex]d=2r[/tex]
Substitute the diameter in the relation.
[tex]\begin{gathered} 5.4=2r \\ r=2.7mm \end{gathered}[/tex]
Now substitute the radius in the area of circle formula.
[tex]\begin{gathered} A=(2.7)^2\pi \\ A=7.29\pi mm^2 \end{gathered}[/tex]
Answer
Hence the area of circle is
[tex]7.29\pi mm^2[/tex]
The correct option is C.
