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Find the circumference of a circle with a diameter of [tex][tex]$6 cm$[/tex][/tex]. Leave your answer in terms of [tex][tex]$\pi$[/tex][/tex].

A. [tex][tex]$6 \pi cm$[/tex][/tex]
B. [tex][tex]$9 \pi cm$[/tex][/tex]
C. [tex][tex]$24 \pi cm$[/tex][/tex]
D. [tex][tex]$12 \pi cm$[/tex][/tex]

Sagot :

To find the circumference of a circle given its diameter, we use the formula for the circumference [tex]\(C\)[/tex] of a circle:

[tex]\[ C = \pi \cdot d \][/tex]

where [tex]\(d\)[/tex] is the diameter of the circle.

Given the diameter [tex]\(d = 6 \, cm\)[/tex], we can substitute this value into the formula to find the circumference:

[tex]\[ C = \pi \cdot 6 \, cm \][/tex]

Simplifying this, we have:

[tex]\[ C = 6 \pi \, cm \][/tex]

So, the circumference of a circle with a diameter of 6 cm is [tex]\(6 \pi \, cm\)[/tex].

The correct answer is:

[tex]\[ 6 \pi \, cm \][/tex]
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