Question

What is the area swept by the minute
hand of a clock between 7:15 and 7:50, if
its length is 10.5 cm?​

Answer 1

Answer:

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 =60360°×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

Therefor,

Area swept by the minute hand in 15 minutes =360°90°×(722×(14)2)=41×616=154cm2

Hence the area swept by the minute hand in 15 minutes is 154cm2.

Hence the correct answer is 154cm2.

Step-by-step explanation:

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