I am new android developer and trying to develop a game in android using eclipse IDE. Which has a game board like this

I just want to place the button where there is a circle.
I hard-coded the buttons positions in xml using relative layout but because of different size of screens this solution is not working
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:tools="http://schemas.android.com/tools"
android:id="@+id/AbsoluteLayout1"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:background="@drawable/bani_qatar_board" >
<Button
    android:id="@+id/btn_a8"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignLeft="@+id/btn_a1"
    android:layout_below="@+id/btn_a1"
    android:layout_marginTop="82dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_a7"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignLeft="@+id/btn_a8"
    android:layout_alignParentBottom="true"
    android:layout_marginBottom="7dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_b2"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_below="@+id/btn_a1"
    android:layout_marginLeft="51dp"
    android:layout_marginTop="14dp"
    android:layout_toRightOf="@+id/btn_a1"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_b1"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBottom="@+id/btn_a8"
    android:layout_alignLeft="@+id/btn_b2"
    android:layout_marginBottom="2dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_b8"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_above="@+id/btn_a7"
    android:layout_alignLeft="@+id/btn_b1"
    android:layout_marginBottom="11dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c2"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_below="@+id/btn_b2"
    android:layout_marginLeft="52dp"
    android:layout_marginTop="5dp"
    android:layout_toRightOf="@+id/btn_b8"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c1"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBottom="@+id/btn_a8"
    android:layout_alignLeft="@+id/btn_c2"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c8"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_above="@+id/btn_b8"
    android:layout_alignLeft="@+id/btn_c1"
    android:layout_marginBottom="7dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_b3"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBottom="@+id/btn_b2"
    android:layout_alignLeft="@+id/btn_a2"
    android:layout_marginBottom="4dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c3"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_c2"
    android:layout_alignBottom="@+id/btn_c2"
    android:layout_alignLeft="@+id/btn_b3"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c7"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_c8"
    android:layout_alignBottom="@+id/btn_c8"
    android:layout_alignLeft="@+id/btn_c3"
    android:background="@drawable/blank"
    android:focusable="true" />
<Button
    android:id="@+id/btn_b7"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBottom="@+id/btn_b8"
    android:layout_alignLeft="@+id/btn_c7"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_a6"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_a7"
    android:layout_alignBottom="@+id/btn_a7"
    android:layout_alignLeft="@+id/btn_b7"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c4"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_c3"
    android:layout_alignBottom="@+id/btn_c3"
    android:layout_marginLeft="95dp"
    android:layout_toRightOf="@+id/btn_c3"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c5"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_c1"
    android:layout_alignBottom="@+id/btn_c1"
    android:layout_alignLeft="@+id/btn_c4"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_c6"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_c7"
    android:layout_alignBottom="@+id/btn_c7"
    android:layout_alignLeft="@+id/btn_c5"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_b4"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_b3"
    android:layout_alignBottom="@+id/btn_b3"
    android:layout_marginLeft="50dp"
    android:layout_toRightOf="@+id/btn_c4"
    android:background="@drawable/blank"
    android:paddingBottom="9dp" />
<Button
    android:id="@+id/btn_b5"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_c5"
    android:layout_alignBottom="@+id/btn_c5"
    android:layout_alignLeft="@+id/btn_b4"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_b6"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_b7"
    android:layout_alignBottom="@+id/btn_b7"
    android:layout_alignLeft="@+id/btn_b5"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_a3"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_above="@+id/btn_b2"
    android:layout_alignParentRight="true"
    android:layout_marginRight="13dp"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_a4"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_b5"
    android:layout_alignBottom="@+id/btn_b5"
    android:layout_alignLeft="@+id/btn_a3"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_a5"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignBaseline="@+id/btn_a6"
    android:layout_alignBottom="@+id/btn_a6"
    android:layout_alignLeft="@+id/btn_a4"
    android:background="@drawable/blank" />
<Button
    android:id="@+id/btn_a2"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_above="@+id/btn_b2"
    android:layout_marginLeft="86dp"
    android:layout_toRightOf="@+id/btn_c2"
    android:background="@drawable/blank" />
<TextView
    android:id="@+id/infoDisplay"
    android:layout_width="175dp"
    android:layout_height="wrap_content"
    android:layout_alignTop="@+id/btn_b1"
    android:layout_toLeftOf="@+id/btn_c5"
    android:gravity="center"
    android:text="@string/text"
    android:textAppearance="?android:attr/textAppearanceLarge"
    android:textColor="#000000" />
<Button
    android:id="@+id/btn_a1"
    android:layout_width="27dp"
    android:layout_height="25dp"
    android:layout_alignParentLeft="true"
    android:layout_alignParentTop="true"
    android:layout_marginLeft="12dp"
    android:layout_marginTop="63dp"
    android:background="@drawable/blank" />
</RelativeLayout>`
Out put is 

Issue : You can clearly see buttons are not showing on circles.
Note : I don't want to used any game-engine right now for this purpose. I want to develop this game in eclipse.
Any suggestions how i can place buttons exactly on circle. Thanks in advance.
 
     
     
    