the diameter of the moon is 3480 km. A.)what is the surface area of the moon? B.)how many times larger is the surface area of earth?

To find the surface area of a sphere like the moon, you can use the formula:

Surface Area = 4πr²

where r is the radius of the sphere.

First, let's find the radius of the moon. Since the diameter is given as 3480 km, we can divide it by 2 to find the radius:

Radius = Diameter / 2 = 3480 km / 2 = 1740 km

A.) Now, we can plug in the radius into the surface area formula:

Surface Area of the Moon = 4π(1740 km)²

Using a calculator, we can calculate it as follows:

Surface Area of the Moon ≈ 4 × 3.14159 × (1740 km)²

≈ 4 × 3.14159 × 3027600 km²

≈ 12.56636 × 3027600 km²

≈ 38000000 km²

Therefore, the surface area of the moon is approximately 38 million square kilometers.

B.) To find out how many times larger the surface area of Earth is compared to the moon, we need to know the surface area of Earth. The surface area of Earth is approximately 510 million square kilometers.

To calculate the ratio of the surface areas, we can divide the surface area of Earth by the surface area of the moon:

Ratio = Surface Area of Earth / Surface Area of the Moon

Ratio ≈ 510 million km² / 38 million km²

Ratio ≈ 13.421

Therefore, the surface area of Earth is approximately 13.421 times larger than the surface area of the moon.