Sure! Let's solve the problem step by step.
The question asks us to find the circumference of a circle with a radius of 18 inches and leave the answer in terms of [tex]\(\pi\)[/tex].
The formula to calculate the circumference [tex]\(C\)[/tex] of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
where [tex]\(r\)[/tex] is the radius of the circle.
Here, the radius [tex]\(r\)[/tex] is 18 inches.
Substituting the value of the radius into the formula, we get:
[tex]\[ C = 2 \pi \times 18 \][/tex]
Simplifying this, we have:
[tex]\[ C = 36 \pi \][/tex]
Hence, the circumference of the circle is [tex]\(36 \pi\)[/tex] inches.
Among the given options:
- [tex]\(54 \pi\)[/tex] in.
- [tex]\(18 \pi\)[/tex] in.
- [tex]\(36 \pi\)[/tex] in.
- [tex]\(324 \pi\)[/tex] in.
The correct answer is [tex]\(36 \pi\)[/tex] in.
