Graphical Reasoning  The formulas for the area of a circular sector and the arc length are...

Graphical Reasoning  The formulas for the area of a circular sector and the arc length are and s = rθ, respectively. (r is the radius and θ is the angle measured in radians.)

(a) For θ = 0.8, write the area and arc length as functions of r. What is the domain of each function? Use a graphing utility to graph the functions. Use the graphs to determine which function changes more rapidly as r increases. Explain.

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(b) For r = 10 centimeters, write the area and arc length as functions of θ. What is the domain of each function? Use the graphing utility to graph and identify the functions.