A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle as a function of x. B. Express the area of the circle as a function of x.

Explanation:

Given length is

Circumference of a circle is given as:

a.But the circumference is equal to length of the wire. Therefore circumference as a function of is:

b.Area as function of

Area is calculated as

Rewrite the circumference equation to make r the subject of the formula.

To express area as a function of :-

Therefore area of circle as a function of is

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