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To estimate the area of the circle, we need to use the formula for the area of a circle, which is:
A = πr^2
where A is the area of the circle, π is the constant pi (approximately equal to 3.14 or 22/7), and r is the radius of the circle.
Since we are given the diameter of the circle, which is 28 cm, we can find the radius by dividing the diameter by 2:
r = d/2 = 28/2 = 14 cm
Now we can use the formula for the area of the circle:
A = πr^2
Using π = 3.14, we get:
A = 3.14 x 14^2
A = 3.14 x 196
A = 615.44
Therefore, the estimated area of the circle is 615.44 square centimeters.