Answer: Choice D11pi/4=======================================================Explanation:The angles shown add to: 120+45+30 = 195 degrees.The remaining bit needed to get to a full 360 degree circle is 360-195 = 165 degrees, which is the measure of central angle AFD.This means the arc AED is 165/360 of the full circle perimeter or circumference.The fraction 165/360 reduces to 11/24 after dividing both parts by the GCF 15So we can say that the length of arc AED is exactly 11/24 of the full circumference.-----------------The length FB is 3 units (radius), so EB is 6 units (diameter)This leads to,C = circumferenceC = pi*diameterC = pi*6C = 6piThat's the full circumference, but we only want 11/24 of it to get arc AED.arc AED = (11/24)*(full circumference)arc AED = (11/24)*(6pi)arc AED = 11pi/4 which is choice DI'm assuming choice D says 11pi/4