The radii of two circles are 8 cm and 6 cm respectively. The radius of the circle having area equal to the sum of the ar

Question

The radii of two circles are 8 cm and 6 cm respectively. The radius of the circle having area equal to the sum of the areas of the two circles is:

Accepted Answer

Let the radius of the new circle be $R$. Then $R^2 = 8^2 + 6^2 = 64 + 36 = 100 \Rightarrow R = 10$ cm.

Areas Related to Circles