22. The circumference of the circle below is108 meters. If the interior angle n is 60°,what is the length in meters of arc AB?F) 5G) 9H) 11J) 12K) 18

Answer:The length of arc of circle with interior angle 60° is 18 meter  Step-by-step explanation:Given as :The circumference of circle = C = 108  meters The interior angle at center of circle = 60° Let The length of arc = L So , Length of arc = L = [tex]\frac{\Pi \times radius\times \Theta }{180^{\circ}}[/tex]∵ circumference of circle = [tex]2\times \Pi \times radius[/tex] Or,  108 = [tex]2\times \Pi \times radius[/tex] ∴  r = [tex]\frac{108}{2\pi }[/tex] So, Length of arc = [tex](\frac{\Pi \times \Theta }{180}) \times (\frac{108}{2\times \Pi })[/tex]Or, L = [tex](\frac{\Pi \times \60 }{180}) \times (\frac{108}{2\times \Pi })[/tex]Or, L = [tex]\frac{36}{2}[/tex] = 18 mHence The length of arc of circle with interior angle 60° is 18 meter  Answer