Question
The circumference of a circle is 28 pi inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
14 in.
21 in.
28 in.
56 in.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the radius of a circle given its circumference, we can use the formula for the circumference of a circle:
\[
C = 2 \pi r
\]
where \(C\) is the circumference and \(r\) is the radius.
In this case, we are given that the circumference \(C = 28\pi\) inches. We can set up the equation:
\[
28\pi = 2 \pi r
\]
Next, we can divide both sides of the equation by \(2\pi\):
\[
\frac{28\pi}{2\pi} = r
\]
Simplifying this gives:
\[
\frac{28}{2} = r
\]
\[
r = 14
\]
Therefore, the length of the radius of the circle is \(14\) inches.
The answer is \( \text{14 in.} \)
\[
C = 2 \pi r
\]
where \(C\) is the circumference and \(r\) is the radius.
In this case, we are given that the circumference \(C = 28\pi\) inches. We can set up the equation:
\[
28\pi = 2 \pi r
\]
Next, we can divide both sides of the equation by \(2\pi\):
\[
\frac{28\pi}{2\pi} = r
\]
Simplifying this gives:
\[
\frac{28}{2} = r
\]
\[
r = 14
\]
Therefore, the length of the radius of the circle is \(14\) inches.
The answer is \( \text{14 in.} \)
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