Find the area of given figure.
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Let O be the centre of the hexagon
It follows that the point O, when joined to the ends of a side of the hexagon forms an equilateral triangle.
∴AO=BO=CO=DO=EO=FO=10cm=0.1 m
Since at each comer of the hexagon, a charge of 5pc i.e., 5×10−6C is placed, total electric potential at point o due to the charges at the six comers,
V=6×(
4π∈
0
1
×
r
q
)
=6×9×10
9
×
0.1
5×10
−6
=2.7×10
6
V.
2...AB
2
=AD
2
+BD
2
AB
2
=25
⇒AB=5
AC
2
=AB
2
+CB
2
AC
2
=5
2
+12
2
AC
2
=169
⇒AC=13
cotθ=
AB
CB
=
5
12
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Find the area of given figure.
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