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Byju's Answer
Standard VI
Mathematics
Sum of Angles of a Polygon
In a regular ...
Question
In a regular hexagon
A
B
C
D
E
F
,
→
A
B
+
→
A
C
+
→
A
D
+
→
A
E
+
→
A
F
=
k
→
A
D
, where
k
is equal to
A
1
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B
2
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C
3
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D
none of these
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Solution
The correct option is
C
3
→
A
B
+
→
A
C
+
→
A
D
+
→
A
E
+
→
A
F
=
→
E
D
+
→
A
C
+
→
A
D
+
→
A
E
+
→
C
D
[
∵
→
A
B
=
→
E
D
,
→
A
F
=
→
C
D
]
=
(
→
A
C
+
→
C
D
)
+
(
→
A
E
+
→
E
D
)
+
→
A
D
=
→
A
D
+
→
A
D
+
→
A
D
=
3
→
A
D
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0
Similar questions
Q.
If
A
B
C
D
E
F
is a regular hexagon and
→
A
B
+
→
A
C
+
→
A
D
+
→
A
E
+
→
A
F
=
λ
→
A
D
, then
λ
=
Q.
In a regular hexagon
A
B
C
D
E
F
with center at
O
(origin). Prove
If five forces
→
A
B
,
→
A
C
,
→
A
D
,
→
A
E
,
→
A
F
act at the vertex
A
of regular hexagon
A
B
C
D
E
F
. Then their resultant is equal to
6
→
A
O
Q.
If
A
B
C
D
E
F
is a regular hexagon. prove that
→
A
B
–
––
–
+
→
A
C
–
––
–
+
→
A
E
–
––
–
+
→
A
F
–
––
–
=
2
→
A
D
–
––
–
.
Q.
Consider the regular hexagon
A
B
C
D
E
F
with centre at
O
(origin).
Five forces
→
A
B
,
→
A
C
,
→
A
D
,
→
A
E
,
→
A
F
act at the vertex
A
of a regular hexagon
A
B
C
D
E
F
, then their resultant is
Q.
If Five forces
→
A
B
,
→
A
C
,
→
A
D
,
→
A
E
,
→
A
F
act at the vertex A of a regular hexagon ABCDEF, then their resultant is? (where O is the centroid of the hexagon)
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