What is the approximate diameter of the moon.

[zman459]

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!

 

[Andrew Mason]

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