The exact circumference of a circle is \( 18 \pi \) inches. What is the approximate area of th circle? Use 3.14 for \( \pi \). Round to the neares hundredth if necessary. (Example 4 )

To find the radius of the circle, we use the formula for circumference: \( C = 2\pi r \). Given that \( C = 18\pi \), we can set up the equation \( 2\pi r = 18\pi \). Dividing both sides by \( 2\pi \) gives us \( r = 9 \) inches. Now, to find the area, we use the formula \( A = \pi r^2 \). Plugging in our radius, we get \( A = \pi (9^2) = 81\pi \). Using \( \pi \approx 3.14 \), the area becomes \( 81 \times 3.14 \approx 254.34 \) square inches. So, the approximate area of the circle is \( 254.34 \, \text{square inches} \).