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SSC CGL Model Paper 7
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© examsnet.com
Question : 66
Total: 100
Two parallel chords are on the one side of the centre of circle having length 24 cm and 32 cm. If the distance between the chord is 8 cm, then find the area of the circle?
265 π
255 π
250 π
260 π
Validate
Solution:
In ΔOAD
r
2
=
16
2
+
x
2
....(i)
and in ΔOCB
r
2
=
(
x
+
8
)
2
+
12
2
....(ii)
From (i) and (ii)
256
+
x
2
=
x
2
+
64
+
16
x
+
144
⇒
256
−
144
=
16
(
x
+
4
)
⇒
x
+
4
=
7
⇒ x = 3 cm
In ΔOAD,
r
2
=
3
2
+
16
2
=
265
∴ Area of circle
=
π
r
2
=
265
π
© examsnet.com
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