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. Understand the conversion relationship: 1 radian = 180/\pi degrees.
2. Multiply the given angle in radians by the conversion factor to convert it to degrees.
3. Set up the equation: degrees = -4.8 \times \frac{180}{\pi}.
4. Calculate the multiplication: -4.8 \times 180.
5. Divide the result by \pi to find the angle in degrees.

Key Concepts

Radians and Degrees

Radians and degrees are two units for measuring angles. A full circle is 360 degrees, which is equivalent to 2π radians. Understanding the relationship between these two units is essential for converting angles from one to the other.

Conversion Formula

To convert radians to degrees, you can use the formula: degrees = radians × (180/π). This formula allows you to translate the measure of an angle in radians into its equivalent in degrees, facilitating easier interpretation and application in various contexts.

Rounding Numbers

Rounding is the process of adjusting a number to a specified degree of accuracy. In this case, rounding to two decimal places means keeping only two digits after the decimal point, which is important for presenting answers clearly and concisely in mathematical contexts.