Question

two circles touch externally the sum of their areas is 130 pie square cm and the distance between their Centre is 14 cm find the radii of the circles

Answer 1

sum of area is 130
=》pie(r1^2+r2^2)=130
=》r1^2+r2^2=130/3.141=41.38cm sq.
and r1+r2=14cm
(r1+r2)^2=r1^2+r2^2+2r1*r2
=》196=41.48+2r1*r21
=》2r1*r2=154.52cm sq.
now ,
(r1-r2)^2=r1^2+r2^2-2r1*r2
=》(r1-r2)^2=41.38-154.52=-113.14
r1-r2=-10.636cm
r1+r2=14cm
--------------------
=》2r1=3.364
r1=1.682cm
and
r2=12.318cm
so two radious are 1.682cm and 12.318cm