Question

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

Answer 1

Answer:

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.

Answer 2

The 9 cm minute hand travel 39.6 cm during a 42 minute period.

Circle

A circle is the locus of a point such that its distance from a point known as the center is always constant.

The length of an arc is given by:

• Length = (θ/360) * 2πr

where θ is the central angle in degrees and r is the radius of the circle.

From the question, r = length if minute hand = 9 cm, θ = 252 degrees, hence:

• Length = (252/360) * 2π(9) = 39.6 cm

The 9 cm minute hand travel 39.6 cm during a 42 minute period.

Find out more on circle at: https://brainly.com/question/17023621