What is the approximate diameter of the moon.

AI Thread Summary
The moon subtends an angle of 9.06 x 10^-3 radians and is located approximately 3.84 x 10^8 meters from Earth. To find the moon's diameter, the formula R = S/theta can be applied, where R is the radius (distance to the moon), S is the arc length (diameter of the moon), and theta is the angle in radians. By considering the moon's position as a small segment of the circumference of a circle centered on Earth, the relationship between the angle and the arc length can be established. The circumference of the circle can be calculated, and the diameter of the moon can be derived from the arc length corresponding to the subtended angle. This approach effectively determines the approximate diameter of the moon.
zman459
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the moon subtends an angle of 9.06 x 10^-3 radians amd os 3.84 x 10^8 meters from the earth. What is the approximate diameter of the moon.

so i think it has something to do with formula R=S/theta but I'm not sure how to compare the moon and the Earth information to find the diameter of the moon please help!
 
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zman459 said:
the moon subtends an angle of 9.06 x 10^-3 radians amd os 3.84 x 10^8 meters from the earth. What is the approximate diameter of the moon.

so i think it has something to do with formula R=S/theta but I'm not sure how to compare the moon and the Earth information to find the diameter of the moon please help!
Think of a circle around the Earth with radius = distance to the moon. The moon takes up only a small part of that circumference. Find the circumference of that circle. The distance the moon occupies on that circumference is the diameter of the moon. How is that distance related to the angle the moon subtends?

AM
 
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