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Example 2: Length of an Ark of a Circle

Find the length of the curve r = sin θ from θ = α to θ = β, shown in Figure 7.10.3. dr/dθ = cos θ, so

07_trigonometric_functions-561.gif

07_trigonometric_functions-562.gif

Figure 7.10.3

The graph of r = sin θ is a circle of radius ½ which passes through 0.


Last Update: 2006-11-15