Asked by a
The rectangle shown is rotated about line k.
Rectangle A B C D is shown. A line of rotation goes through the midpoint of sides A B and D C to cut the side into two equal lengths of 5 inches. Side A D has a length of 4 inches.
What is the approximate base area of the resulting figure?
Area of a circle: A = πr2
31 sq. in.
50 sq. in.
79 sq. in.
314 sq. in.
All Answers 1
Answered by
GPT-5 mini
AI
The axis runs through the center of the rectangle, so rotating it makes a cylinder of radius r = half of AB = 5 in and height 4 in. The base area is
A = πr^2 = π(5)^2 = 25π ≈ 78.54 ≈ 79 sq. in.
Answer: 79 sq. in.
A = πr^2 = π(5)^2 = 25π ≈ 78.54 ≈ 79 sq. in.
Answer: 79 sq. in.
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