9514 1404 393
Answer:
8 m
Step-by-step explanation:
The area of a circle of radius r is ...
A = πr²
The total area of the two circles is ...
80π m² = πr² +π(2r)² = 5πr²
r² = 16 m² . . . . . . . . . divide by 5π
r = 4 m . . . . . . . . . . . positive square root
The radius of the larger circle is 2r = 2(4 m) = 8 m.
