Answer: 392.5 square yards (approximate)
Step-by-step explanation
The diameter is 50 yards. Half of that is the radius 25 yards.
Let's find the area of the entire circle.
Area = pi*(radius)^2
A = pi*r^2
A = 3.14*25^2
A = 1962.5
The entire garden has the approximate area of about 1962.5 square yards. This area is approximate because pi = 3.14 is approximate.
Divide this area result by 5 because we have split this area equally among the 5 types of vegetables.
(1962.5)/5 = 392.5 square yards is the approximate area set aside for carrots.