One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?

find area of 1 small bubble
πr² = π × 5²
= 78.54
total area of 4 small bubble
78.54 × 4 = 314.16
total area of 4 small bubble = area of big bubble
= 314.16
find it's radius
πr² = 314.16
r² = 314.16 ÷ π
r² = 100
r = √100
r = 10
Answer:
AREA OF LARGE BUBBLE=PI×R^2
AREA OF 1 SMALL BUBBLE =PI×r^2
then area of 4 small bubble =(PI×r^2)×4
now,
area of large bubble =area of 4 small bubble
PI×R^2=4×(PI×r^2)
R= 10 cm