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.

Explanation

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)