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

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

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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