Question 156354: The minute hand of a clock is 6 cm long. To the nearest tenth, find the area of the sector covered by the minute hand of the clock in 20 minutes.
Answer by SAT Math Tutor(36) (Show Source):
You can put this solution on YOUR website! Begin by determining the angle covered in 20 minutes, which we know is 120 degrees or (2/3)*pi in radians. Since there are 360 degrees in a circle, this is 120/360 or 1/3 of the total circle.
Then, find the area of the circle using the formula pi*r^2. In this case, r = 6 so the area is 36*pi.
To, find the answer, multiply 1/3 by 36*pi to get 12*pi.
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