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Sunday, April 06, 2025
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The ratio of a circle's circumference to its area is 4:6. What is the circle's radius?
ReplyDeleteCircumference = 2πr
Area = πr^2
So 2πr / πr^2 = 4/6. From here, it's simple algebra. First, cross-multiply.
6•2πr = 4(πr^2)
Here, you can go multiple routes. Mine is:
Divide by r:
12π = 4πr
Divide by π:
12 = 4r
Divide by 4:
r = 3
QED.