In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places.
-4.8 radians

Verified step by step guidance

1. Recall the conversion formula from radians to degrees: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).
2. Substitute the given radian measure into the formula: \(\text{degrees} = -4.8 \times \frac{180}{\pi}\).
3. Calculate the fraction \(\frac{180}{\pi}\) to get the approximate degree equivalent of one radian.
4. Multiply the radian value by the calculated fraction to find the angle in degrees.
5. Round the resulting degree value to two decimal places as required.

Key Concepts

Radian Measure

A radian is a unit of angular measure based on the radius of a circle. One radian is the angle created when the arc length equals the radius. It is a standard unit in trigonometry, where 2π radians equal 360 degrees.

Conversion Between Radians and Degrees

To convert radians to degrees, multiply the radian value by 180/π. This ratio comes from the fact that 2π radians equal 360 degrees, so 1 radian equals approximately 57.2958 degrees.

Rounding Decimal Values

Rounding involves limiting a number to a specified number of decimal places for simplicity and clarity. In this case, the converted degree value should be rounded to two decimal places, ensuring precision without unnecessary detail.