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Active Prelude to Calculus

Activity 2.2.4.
Determine each of the following values or points exactly.
(a)
In a circle of radius \(11\text{,}\) the arc length intercepted by a central angle of \(\frac{5\pi}{3}\text{.}\)
(b)
In a circle of radius \(3\text{,}\) the central angle measure that intercepts an arc of length \(\frac{\pi}{4}\text{.}\)
(c)
The radius of the circle in which an angle of \(\frac{7\pi}{6}\) intercepts an arc of length \(\frac{\pi}{2}\text{.}\)
(d)
The exact coordinates of the point on the circle of radius \(5\) that lies \(\frac{25\pi}{6}\) units counterclockwise along the circle from \((5,0)\text{.}\)