How many degrees make `pi` rad?

Answer

To determine how many degrees make \( \pi \) radians, we can follow these steps:

### Step 1: Understand the relationship between degrees and radians.
In a complete rotation of a circle, the angle measures \( 360 \) degrees. This is equivalent to \( 2\pi \) radians.

### Step 2: Set up the equation.
From the relationship established, we can write:
\[ 360 \text{ degrees} = 2\pi \text{ radians} \]

### Step 3: Solve for \( \pi \) radians.
To find how many degrees correspond to \( \pi \) radians, we can divide both sides of the equation by \( 2 \):
\[ \pi \text{ radians} = \frac{360 \text{ degrees}}{2} \]

### Step 4: Calculate the value.
Now, performing the division:
\[ \pi \text{ radians} = 180 \text{ degrees} \]

### Conclusion:
Thus, \( \pi \) radians is equal to \( 180 \) degrees.

### Summary:
The final answer is that \( 180 \) degrees make \( \pi \) radians.

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