A 3 inch by 4 inch rectangle is rotated about a corner. What is the maximum number of square inches in the area of the region to
uched by some point of the rectangle as it makes a full rotation? Express your answer in terms of pi.
1 answer:
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 =
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)
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