The length of the arc subtending a central angle of 9π/5 radians is 152.12m.
The radius of the given circle r = 26.9m
The measure of the central angle α = [tex]\frac{9\pi }{5}[/tex] radians
The arc of a circle is defined as the part or segment of the circumference of a circle. Its length is the product of the central angle(in radian) and radius of the circle.
So, the length of the arc subtending a central angle of 9π/5 radians
l = rα
l = 26.9 * 9π/5
l = 152.12m
Therefore, the length of the arc subtending a central angle of 9π/5 radians is 152.12m.
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