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

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(1) Answers

bbb911

Circumference of a cirlce=2πr
r=radius
x=radius of largest circle.
(x-1)=radius of smallest circle.
We can suggest this equation:
2πx=4[2π(x-1)]
2πx=8π(x-1)
x=(8π(x-1)) / (2π)
x=4(x-1)
x=4x-4
x-4x=-4
-3x=-4
x=-4/-3
x=4/3
raidius of largest circle: x=4/3 in
radius of smallest circle: (x-1) in=(4/3 - 1)in=1/4 in
Answer: the radius of largest circle is 4/3 in and the radius of the smallest circle is 1/4 in.