# Convert 2.5 radians to degrees.

#### Understand the Problem

The question is asking to convert an angle measurement from radians to degrees. To do this, we can use the conversion factor where 1 radian is approximately 57.2958 degrees.

$114.59$ degrees

The angle conversion gives approximately $114.59$ degrees from $2$ radians.

#### Steps to Solve

1. Identify the angle in radians

Start with the angle that you want to convert. For example, let's say the angle is $x$ radians.

1. Use the conversion factor

To convert from radians to degrees, multiply the radian measure by the conversion factor ( \frac{180}{\pi} ).

This means you will use the formula:

$$\text{Degrees} = x \cdot \frac{180}{\pi}$$

1. Plug in the value and calculate

If the angle was, for example, 2 radians, substitute ( x ) with 2:

$$\text{Degrees} = 2 \cdot \frac{180}{\pi}$$

1. Calculate the numerical value

Now, perform the multiplication to find the numerical value for degrees.

Using ( \pi \approx 3.14159 ):

$$\text{Degrees} \approx 2 \cdot \frac{180}{3.14159}$$

Now calculate:

$$\text{Degrees} \approx 2 \cdot 57.2958 \approx 114.5916$$

1. Round if necessary

Depending on the context, you may want to round your answer. For example, rounding ( 114.5916 ) to two decimal places gives you ( 114.59 ) degrees.

The angle conversion gives approximately $114.59$ degrees from $2$ radians.