The face of the clock on the Big Ben Tower in London is approximately 23 feet in diameter. If the minute hand starts at 12 and circles around to 9 (Hint: .75) how much of the circumference has the minute hand covered? Use 3.14 for π.
Clock face with a circle covering the face showing the track of the minute hand starting at 12 and ending at 9.
The face of the clock on the Big Ben Tower in London is approximately 23 feet in diameter. If the minute hand starts at 12 and circles around to 9 (Hint: .75) how much of the circumference has the minute hand covered? Use 3.14 for π.
Clock face with a circle covering the face showing the track of the minute hand starting at 12 and ending at 9.
72.22 ft
54.165 ft
28.26 ft
1,661.06 ft
The minute hand of the clock makes a full revolution around the clock face in 60 minutes. Since it starts at 12 and ends at 9, it has covered 3/4 of the circumference of the clock face.
To find the length of the circumference, we can use the formula for the circumference of a circle:
C = Ο * d
Where C is the circumference and d is the diameter.
So, the circumference is:
C = 3.14 * 23 = 72.22 ft
To find the length covered by the minute hand, we multiply the circumference by 3/4:
Length covered = (3/4) * 72.22 = 54.165 ft
The minute hand has covered approximately 54.165 ft of the circumference.
Therefore, the correct answer is: 54.165 ft.