Question

The radius of a sphere is 5 feet. Find the area of the great circle of this sphere. (The great circle is the largest circle cross section.)

Question 15 options:

25π

125π

625π

5π

Answer 1

easy
the radius is  the same

area=pir^2
r=5
area=pi5^2
area=25pi

1st option

Answer 2

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

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