The phases of the moon can be described using the phase angle
, determined by the sun, the moon, and the Earth, as shown in the figure. Because the moon orbits Earth,
changes during the course of a month. The area of the region A of the moon, which appears illuminated to an observer on Earth, is given by
, where R = 1,080 mi is the radius of the moon. Approximate A for the following position of the moon:

A) A = 2,606,488 mi 2
B) A = 686,643 mi 2
C) A = 939,611 mi 2
D) A = 232,115 mi 2
E) A = 171,661 mi 2
Correct Answer:
Verified
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