Final answer:
The question is about calculating the solid angle subtended by the Moon at any point on the Earth, which involves converting the diameter of the Moon to meters, finding the area it subtends, and using these values to calculate the solid angle in steradians.
Step-by-step explanation:
The student is asking about the solid angle subtended by the Moon at any point on the Earth. To calculate the solid angle Ω in steradians (sr), we can use the formula for a sphere, Ω = A/r², where A is the area subtended by the solid angle at distance r. Given the radius of the Moon is approximately 1737 km and the distance from Earth to the Moon is 3.84 × 10¸ m, we first need to convert the radius to meters: 1737 km × 1000 = 1.737 × 10¶ m.
Using the formula for the surface area of a circle (A = πd²/4, d being the diameter), the area A subtended by the Moon can be found with d = 2 × 1.737 × 10¶ m. Substituting these values into the formula and simplifying, we can find the solid angle Ω. After calculating, the closest value to the result will be the correct answer among the given options.