Answer:
277°
Step-by-step explanation:
The measure of arc AEG = AB + BE + EF + FG
The central angle is congruent to the arc that subtends it
∠ ECB = 180° - 44° = 136° ( adjacent angles )
∠ECF = ∠ ACB = 44° ( vertical angles ), thus
AEG = 44° + 136° + 44° + 53° = 277°
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l
now

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum
notice the

so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0
so.. check the critical points on the other
You want to find the area of the circle. The formula for the area of a circle is A=πr^2 (Area=pi times radius squared). The diameter is the distance across the circle. Radius is half the diameter. Diameter=3. 3 divided by 2 equals 1.5. So, plug it into the equation. A=π1.5^2 (Area=pi times 1.5 squared).