Answer: 200.96 yd²
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
Notice that here, we're given the diameter instead of the radius. Remember that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 16 yards or 8 yards.
So plugging into the formula, we have (π)(8 yd)².
A common mistake is to plug 16 yards into the formula but remember that we must plug in the radius and not the diameter.
Multiplying, (8 yd)² is equal to 8 yards × 8 yards or 64 yards².
So we have 64π yd².
So the area of the circle is 64π yd².
Now, remember that the irrational number π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.
So we have (64)(3.14) which is equal to 200.96.
So the area of the circle is approximately equal to 200.96 yd².