QQuestionMathematics
QuestionMathematics
"What’s the exact circumference of a circle with a diameter of 12 inches?
Options:
A. π×12 inches
B. π×24 inches
C. 2×π×12 inches
D. 6×π inches"
12 months agoReport content
Answer
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Step 1:: Recall the formula for the circumference of a circle.
where $C$ is the circumference and $r$ is the radius of the circle.
The formula for the circumference of a circle is given by:
Step 2:: Determine the radius from the given diameter.
r = \frac{diameter}{2} = \frac{12}{2} = 6 \text{ inches}
We are given the diameter of the circle, which is 12 inches. The radius can be found by dividing the diameter by 2:
Step 3:: Calculate the circumference using the radius.
C = 2 \pi r = 2 \pi (6) = 12 \pi \text{ inches}
Now, we can find the circumference using the formula and the calculated radius:
Step 4:: Compare the result with the given options.
The exact circumference is $12 \pi$ inches, which is not listed among the given options.
However, we can express it in terms of the options: The given options are: A. π×12 inches B. π×24 inches C. 2×π×12 inches D. 6×π inches We can see that option D, 6×π inches, is the correct answer when the radius is given as 6 inches.
Final Answer
should be:
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