Answer:
central angle =23.88°
Step-by-step explanation:
Given:Arc length =10ft
radius= 24ft
To find : central angle
Formula: Arc length = 2πr.[tex]\frac{\theta}{360}[/tex]°
⇒[tex]{\theta}[/tex] = [tex]\frac{arc length.360}{2{\pi}{r}}[/tex]
⇒ [tex]{\theta}[/tex] = [tex]\frac{10(360{\degree})}{2 (3.14)(24)}[/tex]
⇒[tex]{\theta}=[/tex]23.8853503°
