Question 7 of 10 Map sapling learning Astronomers discover an exoplanet (a plane

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Question 7 of 10 Map sapling learning Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.25 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.91 x 30 kg. Find the radius of the exoplanet's orbit. Number Previous Check Answer E Next Exit Due Date: Points Possibl Grade Catego Description: Policies: You can check You can view S You have three You lose 15% answer in your at that answer For multiple-cl on the numbe O eTextbook O Help With T O Web Help & Technical Su

Explanation / Answer

Period T = 3.25*earth years = 3.25*365*24*60*60 = 1.024*10^8 sec

mass of that sun is Ms = 3.91*10^30 kg

radius of the planet is R^3 = (T^2*G*Ms)/(4*pi^2)

R^3 = ((1.024*10^8)^2*6.67*10^-11*3.91*10^30)/(4*3.142^2) = 6.92*10^34

R = (6.92*10^34)^(1/3) = 4.105*10^11 m

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