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UPSC CDS Math Area and Perimeter Questions
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© examsnet.com
Question : 11
Total: 116
A piece of wire of length 33 cm is bent into an arc of a circle of radius 14 cm. What is the angle subtended by the arc at the centre of the circle ?
[2019 CDS-II]
75°
90°
135°
150°
Validate
Solution:
We have,
Length of
a
r
c
=
33
c
m
and radius of circle is
14
c
m
.
Let
θ
is the angle subtended by the arc at centre of the circle.
We know that length of
a
r
c
=
2
π
r
θ
360
∘
⇒
33
=
2
π
×
14
×
θ
360
∘
⇒
θ
=
33
×
360
∘
28
π
⇒
θ
=
135
∘
© examsnet.com
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