Radian measure and arc length

Radian measure and arc length

Basic Concepts: Trigonometric ratios of angles in radians, Circles and circumference , Arcs of a circle
Related Concepts: Areas and sectors of circles

Lessons

arclength=r⋅θradian arc\;length= r \cdot \theta\;radian
  • 1.
    Use the information in each diagram to determine the value of the variable
    Give your answers to the nearest hundredth of a unit.

    a)

    Using arc length and radius to calculate angle in radian

    b)

    using angle in radian to calculate arc length of a circle

    c)

    Using angle in radian and arc length to calculate radius

    d)

    Using angle in degree and radius to calculate arc length

  • 2.
    A 20 cm long pendulum swings through an arc length of 60 cm. Through
    what angle, in both degrees and radians, does the pendulum swing?
Do better in math today
Get Started Now
2.
Trigonometric Ratios and Angle Measure
2.1
Angle in standard position
2.2
Coterminal angles
2.3
Reference angle
2.4
Find the exact value of trigonometric ratios
2.5
ASTC rule in trigonometry (All Students Take Calculus)
2.6
Unit circle
2.7
Converting between degrees and radians
2.8
Trigonometric ratios of angles in radians
2.9
Radian measure and arc length
2.10
Law of sines
2.11
Law of cosines
2.12
Applications of the sine law and cosine law
Trigonometry
Don't just watch, practice makes perfect