Asked by carly

The area of a circle of radius r is πr^2, which happens to be 1/2r times the circumference
2Ï€r. Explain why this relationship should be expected.
Answered by carly
the weird ie thing is supposed to be pi
Answered by Reiny
Area = π r^2
circumference = 2πr

Area/circumference = πr^2 /(2πr) = r/2
2(Area) = r(circumference)
Area = (r/2)(circumference)
as required to show
Answered by carly
why would it be expected though?
Answered by Reiny
Well, were you surprised when the result popped out, was it un-expected ??
Answered by carly
no, ok thanks
i have one more question...

Consider a billion-sided regular polygon that is circumscribed around a circle of radius r; how are its area and perimeter related?
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