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 1,737 km.

Question

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 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

I am a little confused with this. Please help ;)

Bosnian · Accepted Answer

Correction. I forgot altitude. R = r + 185 = 1,737 + 185 = 1,922 x² + y² = R² x² + y² = 1,922² x² + y² = 3,694,084 Answer d.

Bosnian · Answer

What is difficult here? Equation of a circle: x² + y² = r² x² + y² = 1,737² x² + y² = 3,017,169 Answer c.

Shinigami · Answer

I believe that is correct. It matches what I did on paper.

On my way · Answer

Bosian is 100% correct for x² + y² = 3,694,084 Answer d. As for rest correct answers are 1. B (x-4)^2+(y+5)^2=4 2. C (x+2)^2+(y-2)^2=13