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.

Respuesta :

Answer:

[tex]\frac{A_p}{A_m} = 18.302[/tex]

Explanation:

we know that surface area of the planet is given as

[tex]A_p = 4 \pi r_p^2[/tex]

surface area of the moon is given as

[tex]A_m = 4 \pi r_m^2[/tex]

[tex]A_p = 4 \pi *(6.29*10^6)^2  = 4.97*10^14 m^2[/tex]

[tex]A_m = 4 \pi *(1.47*10^8*10^{-2})^2 = 2.71*10^13 m^2[/tex]

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

[tex]\frac{A_p}{A_m} = 18.302[/tex]

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