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SSC CGL Tier 2 Exam 12 Apr 2015 Paper
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© examsnet.com
Question : 34
Total: 100
The circumference of a triangle is 24 cm and the circumference of its in-circle is 44 cm. Then the area of the triangle is
(
taking
π
=
22
7
)
56 square cm.
84 square cm.
48 square cm.
68 square cm.
Validate
Solution:
(2)
The centre of incircle is point ‘O’.
OD = OE = OF = r
∴
2
π
r
=
44
⇒
2
×
22
7
×
r
=
44
⇒
r
=
44
×
7
2
×
22
=
7
c
m
.
∴
Area of
Δ
A
B
C
=
1
2
(
A
B
+
B
C
+
C
A
)
×
r
=
1
2
×
24
×
7
=
84
square cm.
© examsnet.com
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