Apollo 8 orbited the moon in a circular orbit. Its average altitude was 185 km above the moon's surface. Create an equation to model the path of Apollo 8 using the center of the moon as the origin. Note that the radius of the moon is 1,737 km.

a. x^2+y^2=34,225

b. x^2+y^2=2,408,704

c. x^2+y^2=3,017,169

d. x^2+y^2=3,694,084

Question

Mathematics

Markus

13 April, 18:18

Apollo 8 orbited the moon in a circular orbit. Its average altitude was 185 km above the moon's surface. Create an equation to model the path of Apollo 8 using the center of the moon as the origin. Note that the radius of the moon is 1,737 km.

a. x^2+y^2=34,225

b. x^2+y^2=2,408,704

c. x^2+y^2=3,017,169

d. x^2+y^2=3,694,084

+5

Answers (1)

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Cullen · Answer 1

You probably haven't learnt this but the general equations for circle with centre at the origin is x^2+y^2=R^2 where R is the radius of the circle so R^2 = (1737+185) ^2. I am lazy to press my calculator so type it in yourself.