Answer:
a) 24 [cm]; b) 30°.
Step-by-step explanation:
a) the length of full the circle is: min_arc(AB)+maj_arc(AB)=π(22+2)=24π [cm]. Then the radius is: r=L/π; ⇒ r=24π/π=24 [cm];
b) if the full circle is 360° (L=24π), then m(∠AOB):2=360°:24 and the required measure of the acute angle AOB is:
m(∠AOB)=360*(1/12)=30°.
