Question

two circles touch each other internally.The sum of their areas is 116π sq cm. and the distance between their centres is 6cm.Find the radii of the given circles

Answer 1

Answer:

Step-by-step explanation:

Let two circles intersect intetnally each other at O and A and B its respective centres

Here; OA =R and OB = r

According to the question;

πr^2+πR^2 =116π

=r^2+R^2=116

AGAIN;AB=6cm

=OA -OB=6cm

=R-r=6

=R =6+r

Now; R^2+r^2=116

=(6+r)^2+r^2 =116

=2r^2+12r+36=116

Now factorise it to get ur answer also draw the figure to clear your concept and yeah if u like my answer the vote me