Ask Question
20 July, 07:50

The hour hand of a clock is 6 inches long and the minute hand is 8 inches long. What is the ratio of the distance in inches traveled by the tip of the hour hand to the distance in inches traveled by the tip of the minute hand from noon to 3 p. m.?

+3
Answers (1)
  1. 20 July, 09:08
    0
    the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is 0.125.

    Step-by-step explanation:

    The given information is:

    length of the hour hand, l = 6 inches length of the minute hand, b = 8 inches

    Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:

    s₁ = r θ

    s₁ = (8) (π/2)

    s₁ = 4π inches

    The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.

    Therefore, in 30 minutes the hour hand moves a distance of:

    s₂ = r θ

    s₂ = 6 (30*1/2*π/180)

    s₂ = π/2 inches

    Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:

    s₂ / s₁ = (π/2) / 4π

    s₂ / s₁ = 0.125
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The hour hand of a clock is 6 inches long and the minute hand is 8 inches long. What is the ratio of the distance in inches traveled by the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers