Question

the moons radius is about 1080 miles. the earths radius is about 3960 miles. find the surface area of the earth and the surface area of the moon. use 3.14 for pi. moons radius: about 1080 miles earths radius: about 3960 miles surface area of earth = mi² surface area of moon = mi²

Explanation:

Step1: Recall surface - area formula for a sphere

The surface - area formula of a sphere is $A = 4\pi r^{2}$, where $r$ is the radius of the sphere.

Step2: Calculate the surface area of the Earth

Given $r_{Earth}=3960$ miles and $\pi = 3.14$. Substitute into the formula: $A_{Earth}=4\times3.14\times3960^{2}$. First, calculate $3960^{2}=3960\times3960 = 15681600$. Then, $4\times3.14\times15681600=196940640$ square miles.

Step3: Calculate the surface area of the moon

Given $r_{moon}=1080$ miles and $\pi = 3.14$. Substitute into the formula: $A_{moon}=4\times3.14\times1080^{2}$. First, calculate $1080^{2}=1080\times1080 = 1166400$. Then, $4\times3.14\times1166400 = 14515776$ square miles.

Answer:

surface area of earth = $196940640$ mi²
surface area of moon = $14515776$ mi²