I assume "this region" means the green, less the hole.
Since the area of a circle is pi r^2, just subtract the small area from the large area.
At a miniature golf course, the fourth hole involves hitting the ball through a cylindrical tube that falls to a circular green below, as shown in the illustration. The diameter of this green is 76 inches, and the diameter of the hole is 4 inches. Using pi=3.14, determine approximately how much Astroturf is needed to cover this region.
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