Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).60°

Verified step by step guidance

Convert the degree measure to radians using the formula: radians = degrees \times \frac{\pi}{180}

Substitute 60° into the formula: radians = 60 \times \frac{\pi}{180}

Simplify the fraction: \frac{60}{180} = \frac{1}{3}

Multiply the simplified fraction by \pi: \frac{1}{3} \pi

Express the final answer as a multiple of \pi: \frac{\pi}{3}

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Degree and Radian Measures

Degrees and radians 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 degrees to radians and vice versa.

Conversion Formula

To convert degrees to radians, the formula used is: radians = degrees × (π/180). This formula allows for the straightforward conversion of any angle measured in degrees into its corresponding radian measure, facilitating calculations in trigonometry.

Multiples of π

When expressing angles in radians, it is common to leave the answer as a multiple of π. This means that instead of providing a decimal approximation, the angle is expressed in terms of π, which maintains precision and is often required in trigonometric contexts.

Watch next

Master Converting between Degrees & Radians with a bite sized video explanation from Patrick

Start learning