Question

One circle is inscribed in, and a second circle is circumscribed about, a regular polygon of
2012 sides. If the polygon’s perimeter is 2012, what is the area of the region between the two circles?

Answer 1

is it:
a) \[\frac{ \pi }{ 2 }\]
b)\[\frac{ \pi }{ 4 }\]
c)\[\frac{ \pi }{ 6 }\]
d)\[\frac{ \pi }{ 1006 }\]
e)\[\frac{ \pi }{ 2012 }\]

Answer 2

draw a rough diagram

Answer 3

i tried but it looks really weird :( and it doesn't help that the polygon has 2012 sides....

Answer 4

lets draw a polygon wid n sides, and work it... we can plugin n=2012 in the end

Answer 5

k :)