The surface area of the planet as 15,371,637 square miles.
Step-by-step explanation:
Step 1:
We have the formula, [tex]r = \sqrt{\frac{A}{4 \pi} },[/tex] where r is the radius of the planet and A is the surface area of the same planet.
By squaring both sides of the equation, we can substitute the value of r in the equation and determine the value of A.
[tex](r)^{2} = (\sqrt{\frac{A}{4 \pi} })^{2} , r^{2} = {\frac{A}{4 \pi} }.[/tex]
So if we know the value of [tex]r^{2}[/tex] we can calculate the value of A.
If [tex]r = 1,106, r^{2} = (1,106)^{2} = 1,223,236.[/tex]
Step 2:
By substituting the values, we get
[tex](1,223,236)(4\pi) = A.[/tex]
[tex]A = 15,371,636.924.[/tex]
Rounding this off, we get the surface area of the planet as 15,371,637 square miles.
