Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).


64.29°

Verified step by step guidance

1. Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
2. Substitute the given degree measure into the formula: \(64.29^\circ \times \frac{\pi}{180}\).
3. Multiply the degree value by \(\pi\) to get \(64.29 \times \pi\) in the numerator.
4. Divide the result by 180 to complete the conversion to radians.
5. If needed, use a calculator to approximate the value and round the result to the nearest thousandth.

Key Concepts

Degree to Radian Conversion

Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many trigonometric calculations.

Use of π in Radian Measures

Radians are often expressed in terms of π to maintain exact values. For example, 180° equals π radians. Understanding how to represent angles using π helps in simplifying and interpreting trigonometric expressions.

Rounding to the Nearest Thousandth

When converting degrees to radians, the result may be an irrational number. Rounding to the nearest thousandth means limiting the decimal places to three digits, which balances precision and simplicity for practical use.