![(GDR 5)](/media/m/3/8/1/38186f6cb078c081112264f0956ac59f.png)
Given a ring
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
in the plane bounded by two concentric circles with radii
![R](/media/m/4/d/7/4d76ce566584cfe8ff88e5f3e8b8e823.png)
and
![\frac{R}{2}](/media/m/8/5/4/85468f5cdddae1e971bc86e93b88645c.png)
, prove that we can cover this region with
![8](/media/m/3/d/2/3d2c45264dbff498f9bcb16af5f83881.png)
disks of radius
![\frac{2R}{5}](/media/m/a/7/2/a72e1591f62d65b9cdf656a9bf725621.png)
. (A region is covered if each of its points is inside or on the border of some disk.)
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$(GDR 5)$ Given a ring $G$ in the plane bounded by two concentric circles with radii $R$ and $\frac{R}{2}$, prove that we can cover this region with $8$ disks of radius $\frac{2R}{5}$. (A region is covered if each of its points is inside or on the border of some disk.)