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Ex 12.2, 3 - The length of minute hand of a clock is 14 cm - Ex 12.2

Ex 12.2.jpg

  1. Chapter 12 Class 10 Areas related to Circles
  2. Serial order wise
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Transcript

Ex 12.2, 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 Swept by minute hand in 1 hour (ie 60 minutes ) = 360° Swept by minutes hand in 1 minutes = 360/60 = 6° 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

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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