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sergeinik [125]
3 years ago
15

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?

Mathematics
2 answers:
satela [25.4K]3 years ago
6 0

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

Travka [436]3 years ago
5 0

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

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