Answer:
25π square inches.
Step-by-step explanation:
A 3-inch by 4-inch rectangle is rotated about a corner.
So, the maximum area that a point on the rectangle covers will be by the opposite corner point for 360° full rotation.
Now, the length of the diagonal is = [tex]\sqrt{3^{2} + 4^{2}} = 5[/tex] inches.
Therefore, the area of the circle will be calculated by 5 inches as the radius will be πr² = π(5)² = 25π square inches. (Answer)
