Question

The diameter of Earth's moon is on average m. Use the formula to find the approximate surface area. (Use 3.14 for the value of .) to find the surface area

Answer 1

3.14 * m2

Explanation:

You need to use the surface formula of sphere:

4 (pi) r^2

The radio r is the half of the diameter, which in this case is m. So r = m/2

Surface= 4*(3.14)(m/2)^2

= 4*3.14*(m^2)/(2^2)

= 4 * 3.14 * m^2 / 4 { here we can cancel the numbers 4, as one multiplies an the other divides)

= 3.14 * m^2

Replace the m for its value and get the surface.

Answer 2

`S.A= \pi m^2 \approx3.14m^2`

Explanation:

If we consider the moon as a sphere, we can find its surface area using the following formula:

`Surface\hspace{3}area=S.A=4 \pi r^2\\\\Where:\\\\r=radius`

As you may know, the length of he diameter is twice the length of the radius, so:

`diameter=d=2r\\\\Thus\\\\r=(d)/(2)`

The problem tell us:

`d=m`

Therefore, the surface area of Earth's moon is:

`S.A=4\pi ((m)/(2) )^2 =4\pi (m^2)/(4) =\pi m^2 \approx3.14m^2`