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10. Find the circumference of a circle with a radius of 18 in. Leave your answer in terms of [tex]$\pi$[/tex].

A. [tex]54 \pi[/tex] in.
B. [tex]18 \pi[/tex] in.
C. [tex]36 \pi[/tex] in.
D. [tex]324 \pi[/tex] in.

Sagot :

GinnyAnsweridn
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.
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