Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
Area = [tex]\pi r^{2}[/tex]
Notice that the radius of the circle is 8 inches, so we can plug a 8 in for the radius in our formula.
Area = [tex](\pi) (8 in.)^{2}[/tex]
Now, (8 in.)² is equal to 8 inches × 8 inches or 64 inches².
Area = 64π in.²
So, the area of the circle is 64π in.².
Now, remember that π is approximately equal to 22/7 of 3.14. This means that we can estimate the area of the circle by plugging in 3.14 for π.
Area = (64) (3.14)
Area = 200.96 in.²
Therefore, the exact area of the circle is 200.96 in.².
