Ex 11.1, 3
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
Minute hand completes full circle degree in one hour
Now,
Angle swept by minute hand in 1 hour (i.e 60 minutes ) = 360°
Angle swept by minutes hand in 1 minutes = 360/60 = 6°
Angle swept by minute hand in 5 minutes = 6° × 5 = 30°
Hence, θ = 30° , r = 14 cm
Area swept by minutes hand = Area of sector
= θ/360× πr2
= 𝟑𝟎/𝟑𝟔𝟎×𝟐𝟐/𝟕×(𝟏𝟒)𝟐
= 1/12×22/7 × 14 × 14
= 1/12×22/1× 2 × 14
= 154 cm2
Hence, Area swept by minute hand in 5 minutes = 154 cm2

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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