math;)

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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 ;)

  • math;) -

    What is difficult here?

    Equation of a circle:

    x² + y² = r²

    x² + y² = 1,737²

    x² + y² = 3,017,169

    Answer c.

  • math;) -

    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.

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