To solve these, we will use the formula for the surface area of a sphere:

$\text{Surface Area of a Sphere} = 4\pi r^2$

1. Earth's Surface Area:

• Radius of Earth: $3960 \, \text{miles}$

$\text{Surface Area of Earth} = 4 \pi (3960)^2$

$= 4 \times \pi \times 15,681,600$

$\approx 196,961,366.8 \, \text{square miles}$

2. Moon's Surface Area:

• Radius of Moon: $1080 \, \text{miles}$

$\text{Surface Area of Moon} = 4 \pi (1080)^2$

$= 4 \times \pi \times 1,166,400$

$\approx 14,827,361.3 \, \text{square miles}$

Summary:

• Earth's Surface Area: $\approx 196,961,367 \, \text{square miles}$
• Moon's Surface Area: $\approx 14,827,361 \, \text{square miles}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do the surface areas of Earth and Moon compare proportionally?
2. What is the formula to calculate a sphere's volume, and what are Earth and Moon’s volumes?
3. How does Earth's size affect its gravitational pull compared to the Moon's?
4. What are the ratios of Earth’s and Moon’s diameters?
5. How does surface area relate to Earth's ability to retain its atmosphere compared to the Moon?

Tip: When calculating the surface area or volume of a sphere, always square or cube the radius before multiplying by $\pi$.