the minute hand on a clock is 9 cm long and travels through an arc of 252 degrees every 42 minutes. To the nearest tenth of a centimeter, how far does the minute hand travel during a 42 minute period

The minutes hand travels 39.60 cm.

Explanation:

Note: a clock has a shape of a circle, the minutes hand is the radius, and the travel of the minutes hand forms a arc.

Length of an arc = ∅/360 (2πr)

L = ∅/360 (2πr) ... Equation 1π

Where L = length of an arc, ∅ = angle formed by an arc, r = radius of the arc.

Given: ∅ = 252°, r = 9 cm, π = 3.143.

Substituting these values into equation 1,

L = 252/360 (2*3.143*9)

L = 0.7*2*3.143*9

L = 39.60 cm.

Thus the minutes hand travels 39.60 cm.