I have really been struggling with this one and have come up with a wide variety of answers. Any help would be great:

If the radius of a planet is larger than that of Earth by a factor of 8.25, how much bigger is the surface area of the planet than Earth’s?

Ap/Ae = pi*(8.25r)^2/pi*r^2=68.1r^2/r^2=

68.1/1
Ap = 68.1*Ae.

Ap = Area of the planet.
Ae = Area of the earth.