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?
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13.
Trigonometry
13.1
Angle in standard position
13.2
Coterminal angles
13.3
Reference angle
13.4
Find the exact value of trigonometric ratios
13.5
ASTC rule in trigonometry (All Students Take Calculus)
13.6
Unit circle
13.7
Converting between degrees and radians
13.8
Trigonometric ratios of angles in radians
13.9
Radian measure and arc length
13.10
Law of sines
13.11
Law of cosines
13.12
Applications of the sine law and cosine law
Sixth Year Maths
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