The mean radius of a planet is 6.29 × 10^6 m, and that of its moon is 1.47 × 10^8 cm. From this data calculate the ratio of the planet’s surface area to that of its moon.

Question

asked Mar 19, 2020 216k views

1 Answer

Zachary Murray · Answer 1 · 2020-03-24T14:36:10+0000

Answer:

(A_p)/(A_m) = 18.302

Step-by-step explanation:

we know that surface area of the planet is given as

$A_p = 4 \pi r_p^2$

surface area of the moon is given as

$A_m = 4 \pi r_m^2$

$A_p = 4 \pi *(6.29*10^6)^2  = 4.97*10^14 m^2$

$A_m = 4 \pi *(1.47*10^8*10^(-2))^2 = 2.71*10^13 m^2$

therefore ratio of surface area of planet to surface area of moon is

(A_p)/(A_m) = 18.302