Question

The radii of two circles are 10 cm and 24 cm. The radius of a circle whose area is the sum of the area of these two circles is

• A. 36 cm
• B. 17 cm
• C. 34 cm
• D. 26 cm

Answer 1

Answer:

D. 26 cm

Let the required radius = r cm,

then,

$\pi{r^2}=\pi{r^2_1}+\pi{r^2_2}$

$r^2= r^2_1+ r^2_2= 102+ 242= 100 + 576 = 676$

$r = 676 = 26 cm$