Question

The hour hand of a clock is 14cm long. The area swept by it between 11.20 am and 11.30 am is _______ *​

Answer 1

Answer:

in 60 minutes angle made by hour hand = 360

in 1 minute...........................= 360/60

so in 10 min.... angle made by hour hand is 60

area of sector theta/360* pi r square

308/3 cm SQ

or its 102.67 cm SQ cm

Answer 2

Step-by-step explanation:

Minute hand completes full circle degree in 60 minutes.

Angle swept by minute in 60 minutes =360°

Angle swept by the minute hand in 15 minutes =

60/360° ×15=90°

Therefore,

θ=90°

Length of minute hand =r=14cm

Area swept by minute hand in 15 minutes = Area of sector

As we know that area of sector is given as-

A= 360°/θ ×πr²

Therefore,

Area swept by the minute hand in 15 minutes

=360°/90° ×( 7/22 ×(14) 2 )= 4/1 ×616=154cm²

Hence the area swept by the minute hand in 15 minutes is 154cm ²

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Hence the correct answer is 154cm ²

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