A wire of length l units is bent to form a circle . The radius of the circle so formed is _________ units .

Answer

To find the radius of a circle formed by bending a wire of length \( l \) units, we can follow these steps:

### Step 1: Understand the relationship between the length of the wire and the circumference of the circle.
When a wire is bent to form a circle, the length of the wire becomes the circumference of the circle. Therefore, we can write:
\[ \text{Circumference of the circle} = l \]

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

### Step 3: Set the circumference equal to the length of the wire.
Since the circumference of the circle is equal to the length of the wire, we can equate the two:
\[ l = 2\pi r \]

### Step 4: Solve for the radius \( r \).
To find the radius \( r \), we can rearrange the equation:
\[ r = \frac{l}{2\pi} \]

### Step 5: Write the final answer.
Thus, the radius of the circle formed by bending the wire of length \( l \) units is:
\[ r = \frac{l}{2\pi} \text{ units} \]