SOLUTION: The minute hand on Big Ben is 10 feet long and exactly touches the outside edge of the clock. When the clock reads 9:00, what portion of the circle is between the minute hand and t

Algebra ->  Equations -> SOLUTION: The minute hand on Big Ben is 10 feet long and exactly touches the outside edge of the clock. When the clock reads 9:00, what portion of the circle is between the minute hand and t      Log On


   



Question 115275: The minute hand on Big Ben is 10 feet long and exactly touches the outside edge of the clock. When the clock reads 9:00, what portion of the circle is between the minute hand and the hour hand (going clockwise), and what is the area of that portion in feet?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The minute hand on Big Ben is 10 feet long and exactly touches the outside edge of the clock. When the clock reads 9:00, what portion of the circle is between the minute hand and the hour hand (going clockwise),
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Draw the picture:
Ans: 3/4 th of the circle
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and what is the area of that portion in feet?
radius = 5 ft.
Area of the sector = (3/4)(pi)5^2
Area = 58.905 sq. ft.
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Cheers,
Stan H.