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6.1 Angle Measure

Focus on degree conversion and arc length.

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01Converting degrees to radiansWorked steps · five questions 02Converting radians to degreesWorked steps · five questions 03Coterminal anglesWorked steps · five questions 04Length of a circular arcWorked steps · five questions 05Area of a circular sectorWorked steps · five questions 06Linear and angular speedWorked steps · five questions

Lesson brief and rules

6.1 Angle Measure

Convert degrees to radians by multiplying by $\frac{\pi }{180}$ .

Worked example

1

01 / Convert

30^{\circ}

to radians.

02 / Multiply

30

\dfrac{\pi }{180}

to get

\dfrac{1\pi }{6}

03 / Answer:

\dfrac{1\pi }{6}

Worked example 2 · Arc length

A circle has radius $4$ . Find arc length for an angle of $2$ radians.

Use $s=r\theta$ with $\theta$ in radians. Answer: $8$

15 questions covering every idea, with a worked answer for each.Start practice ↗

Textbook reference: Stewart, Redlin & Watson, Precalculus: Mathematics for Calculus, 7th ed. (Cengage, 2016). The explanations and practice here are original, organized by textbook section.

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6.1 Angle Measure

Ideas in this lesson

6.1 Angle Measure