Part 1. Imagine a clock without the hour hand, When clock strikes 3:35, the minute hand is at 7. When it strikes 3:55, the minute hand is in 11. Each gap between two adjacent digits in the clock measures 30°. This is because a revolution divided by 12 is 360/12 = 30. Then, the angle between the minute hands in the picture is equal to 4(30°) = 120°. Know that π radians is equal to 180°. Converting 120° to radians,
120°(π radians/180°) =
(2/3)π or 2.09 radians
Part 2. For this part, we determine the arc length intercepted by the angle 120° because this is the total distance travelled by the tip of the minute hand.
S = rθ, where θ is the angle in radians and r is the radius of the circle represented by the minute hand.
S = (4)(2.09)
S = 8.36 inches
Hence, the tip of the minute hand travelled a total distance of
8.36 inches.
About 127 inches. use the formula: r squared times 3.14 divided by 2. aka the formula to find area of a circle divided by two because it only covered 30 mins
72 inches.
<span>72/6=12inch sixths </span>
<span>each sixth is cut into a third </span>
<span>12/3=4 inches </span>
<span>each of these eighteenths (6*3=18) have a length of four inches. </span>
<span>Check. 18*4 should equal 72. You have 18 pieces, each four inches long.
Got it all?</span>