Question

The minute hand of clock is 14cm long .Find area of sector which is formed by minute hand between 5:am to 5:30 am

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.

❥︎THANKS

I hope it will help you.