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Standard VIII
Mathematics
Question
The ratio of an interior angle to the exterior angle of a regular polygon is
7
:
2
. Find the number of sides of the polygon.
19
7
9
8
A
19
B
9
C
7
D
8
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Solution
Verified by Toppr
Interior angle of a polygon of
n
-sides
=
(
n
−
2
)
π
n
Exterior angle of a polygon of
n
-sides
=
2
π
n
Taking there ratio, and equating it to
7
2
Thus
n
−
2
2
=
7
2
⇒
n
=
9
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The ratio of an interior angle to the exterior angle of a regular polygon is
7
:
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. Find the number of sides of the polygon.
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