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The central angles of two sectors of circles of radii \(7 \ cm\) and \(21 \ cm\) are respectively \(120^\circ\) and \(40^\circ\). Find the areas of the two sectors as well as the lengths of the corresponding arcs. What do you observe?
When radius \(7 \ cm\) and central angle \(120^\circ\):
Area of sector \(=\) \(cm^2\)
Length of the arc \(=\) \(cm^2\)
When radius \(7 \ cm\) and central angle \(120^\circ\):
Area of sector \(=\) \(cm^2\)
Length of the arc \(=\) \(cm^2\)
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