If the minute hand is 4 inches. Find

Answered question

2022-04-22

If the minute hand is 4 inches. Find the area of the clock 

Answer & Explanation

nick1337

nick1337

Expert2022-05-08Added 777 answers

the area of the sectorthe area of the circle=Aπr2=θ2π (on picture)

A=12r2θ

dAdt=12r2θ (r is constant)

The minute hand takes 60 minutes for one revolution. Then the angular velocity of one revolution per minute is

dθdt=2π60=π30radmin

Thus,

dAdt=12r2dθdt=12·(4)2(π30)=4π15in2min

dAdt=4π15in2min

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