Option 25π is the correct option.
What is a circle?
"A circle is a two-dimensional figure formed by a set of points at a constant or at a fixed distance (radius) from a fixed point (center) on the plane".
For the given situation,
The radius of the sphere = 5 feet.
The great circle is the largest circle cross-section. So the radius of the sphere is the radius of the circle.
The radius of the circle, r = 5 feet.
The formula for the area of the circle, A = π\(r^{2}\)
⇒\(A=5^{2}\)π
⇒\(A=25\)π
Hence, we can conclude that option 25π is the area of the greater circle is correct.
Learn more about the circle here
https://brainly.com/question/14068861
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