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


64.29°

Key Concepts

Degree to Radian Conversion

To convert degrees to radians, use the formula: radians = degrees × (π/180). This relationship arises from the definition of a radian, which is based on the radius of a circle. Understanding this conversion is essential for solving problems that require angle measurements in different units.

Understanding Radians

A radian is a unit of angular measure defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle. Since there are 2π radians in a full circle (360 degrees), this unit is particularly useful in calculus and higher mathematics, where circular motion and periodic functions are analyzed.

Rounding Numbers

Rounding is the process of adjusting a number to a specified degree of accuracy, often to make it simpler or more understandable. In this context, rounding to the nearest thousandth means keeping three decimal places. This is important for precision in mathematical calculations and ensures that answers are presented in a clear and concise manner.