What is the radius of a circle whose circumference is `pi`?

Options

A. `(1)/(2)`
B. 1
C. `(pi)/(2)`
D. `pi`

Answer

To find the radius of a circle whose circumference is given as \( \pi \), we can follow these steps:

### Step 1: Write down the formula for the circumference of a circle.
The circumference \( C \) of a circle is given by the formula:
\[ C = 2\pi r \]
where \( r \) is the radius of the circle.

### Step 2: Set the circumference equal to \( \pi \).
According to the problem, the circumference is given as \( \pi \). Therefore, we can set up the equation:
\[ 2\pi r = \pi \]

### Step 3: Solve for \( r \).
To isolate \( r \), we can divide both sides of the equation by \( 2\pi \):
\[ r = \frac{\pi}{2\pi} \]

### Step 4: Simplify the expression.
Now, simplify the right side:
\[ r = \frac{1}{2} \]

### Conclusion:
Thus, the radius of the circle is:
\[ \boxed{\frac{1}{2}} \]

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