Answer:
r = 55.2 cm
Step-by-step explanation:
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{\frac{23}{20}\pi }{2\pi }[/tex] ( r is the radius )
given arc = 63.48π , then
2πr × [tex]\frac{\frac{23}{20}\pi }{2\pi }[/tex] = 63.48π ( cancel 2π on numerator/ denominator )
r × [tex]\frac{23}{20}[/tex] π = 63.48π ( divide both sides by π )
[tex]\frac{23r}{20}[/tex] = 63.48 ( multiply both sides by 20 to clear the fraction )
23r = 1269.6 ( divide both sides by 23 )
r = 55.2 cm
