Question

the radii of two circles are 4 cm and 3 cm respectively.find the diameter of the circle having area equal to the sum of the areas of the two circles.

Answer 1

$sum \: of \: areas \: of \: two \: circles = \pi {r}^{2} + \pi {r.}^{2} \\ area \: of \: big \: circle= \pi( {3}^{2} + {2}^{2} ) \\ area \: of \: big \: circle= 13\pi \\ \pi ({r..)}^{2} = 13 \\ r.. = \sqrt{13} \\ d = 2 \sqrt{13}$

Answer 2

Plz find the attachment