During a total solar eclipse the moon almost entirely covers the sphere of the sun. Write the relation between the distances and sizes of the sun and moon.

During a total solar eclipse the moon almost entirely covers the spher

1.	During a total solar eclipse the moon almost entirely covers the sphere of the sun. Write the relation between the distances and sizes of the sun and moon.
Answer» Solution :Consider the diagram given below `D_(me)` = Distance of moon from EARTH Dge = `D_(se)` istance of sun from earth Let angle made by sun and moon is , we can write `theta=(A_(s))/(D_(SC)^(2))=(A_(m))/(D_(me)^(2))` Here `A_(s)`= AREA of sun `A_(m)`= Area of the moon `theta=(pi R_(s)^(2))/(D_(se)^(2))=(piR_(m)^(2))/(D_(me)^(2))` `:.((R_(S))/(D_(se)))^(2)=((R_(m))/(D_(me)))^(2)` `:.(R_(s))/(R_(m))=(D_(se))/(D_(me))` `:. (R_(s))/(R_(m))=(D_(se))/(D_(me))` (Here, RADIUS of sun and moon represents their sizes respectively)