During a total solar eclipse the desk of the moon almost covers the disk of the sun. If the angle measured is 1920'' and distance of the moon from the Earth is ` 3.84 xx 10 ^(5) ` km then calculate the diameter of the moon.

Explanation

` theta = 1920'' = (1920)/(3600 ) xx 0.01745 rad " " D = 3.84 xx 10 ^( 5) km `
Using ` d = theta D = (1920 xx 0.01745 ) /(3600 ) xx 3.84 xx 10 ^ 5 km = 3574 km `