Answer:
r ≈ 31.5 cm
Step-by-step explanation:
The arc of a circle is calculated as
arc = circumference of circle × fraction of circle
Here arc = 22 , then
2πr × [tex]\frac{40}{360}[/tex] = 22
2πr × [tex]\frac{1}{9}[/tex] = 22 ( multiply both sides by 9 to clear the fraction )
2πr = 198 ( divide both sides by 2π )
r = [tex]\frac{198}{2\pi }[/tex] ≈ 31.5 cm
