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Byju's Answer
Standard X
Mathematics
Area of a Sector of a Circle
The minute ha...
Question
The minute hand of a clock is 12 cm long. Find the area swept by in it 35 minutes.
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Solution
Angle described by the minute hand in 60 minutes
=
360
°
Angle described by the minute hand in 35 minutes
=
360
60
×
35
°
=
210
°
Now,
r
=
12
cm
and
θ
=
210
°
∴ Required area swept by the minute hand in 35 minutes = Area of the sector with
r
=
12
cm
and
θ
=
210
°
=
πr
2
θ
360
=
22
7
×
12
×
12
×
210
360
cm
2
=
264
cm
2
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