The circumference of a circle is 4 times the circumference of a circle with a radius 1 unit less. What is the radius of each circle?

Answer 1

radius of larger circle --- r
radius of smaller circle --- r-1

circumf of large ---- 2πr
circumf of smaller = 2π(r-10

but 2πr = 4(2π(r-1))
2πr = 8πr - 8π
divide each term by π and rearrange equation
-6r = -8
r = 8/6 = 4/3

larger has radius 4/3
smaller has radius 1/3

I will leave the checking up to you,

Answer 2

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