During a total solar ecilpse 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
`R_(me)`=Distance of moon from earth
`R_(se)`= Distance of sun from earth
Let angle made by sun and moon is `theta`, we can write
`theta=(A_(sun))/(R_(se)^(2))=(A_("moon"))/(R_("me")^(2))`
Here, `A_(sun)`=Area of the sun
`A_("moon")`=Area of the moon
` Rightarrow theta=(piR_(s)^(2))/(R_(se)^(2))=(piR_(m)^(2))/(R_("me")^(2))`
`Rightarrow((R_(s))/(R_(se)))^(2)=((R_(m))/R_("me"))^(2)`
`RightarrowR_(s)/R_("se")=R_(m)/R_("me")`
`Rightarrow R_(s)/R_(m)=(R_("se"))/R_("me")`
(Here, radius of sun and moon represents their sizes respectively)