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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24.
Trigonometric Ratios and Angle Measure
24.1
Angle in standard position
24.2
Coterminal angles
24.3
Reference angle
24.4
Find the exact value of trigonometric ratios
24.5
ASTC rule in trigonometry (All Students Take Calculus)
24.6
Unit circle
24.7
Converting between degrees and radians
24.8
Trigonometric ratios of angles in radians
24.9
Radian measure and arc length
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