Answer:
[tex]a. C=8X\\\\b. A=\frac{16x^2}{\pi}[/tex]
Explanation:
Given length is [tex]8x[/tex]
Circumference of a circle is given as:
[tex]C=2\pi r[/tex]
a.But the circumference is equal to length of the wire. Therefore circumference as a function of [tex]x[/tex] is:
[tex]C=8x[/tex]
b.Area as function of [tex]x[/tex]
Area is calculated as[tex]A=\pi r^2[/tex]
Rewrite the circumference equation to make r the subject of the formula.
[tex]2\pi r=8x\\r=\frac{4x}{\pi}[/tex]
To express area as a function of [tex]x[/tex]:-
[tex]A=\pi r^2\\=\pi (\frac{4x}{\pi})^2\\=\frac{16x^2}{\pi}[/tex]
Therefore area of circle as a function of [tex]x[/tex] is [tex]\frac{16x^2}{\pi}[/tex]
