MHB How far does the tip of the hour hand move in 3 hours?

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To determine how far the tip of the hour hand moves in 3 hours, the arc length formula is applied. The hour hand, 2 cm long, moves through a quarter of a circle in that time, equivalent to 90 degrees or π/2 radians. The circumference of a circle is calculated as 2πr, leading to a quarter circumference of (1/4) * 2π * 2 cm. This results in a movement of π cm, which is approximately 3.14 cm. Thus, the tip of the hour hand moves about 3.14 cm in 3 hours.
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How far to the nearest hundreth cm, does the tip of the hour hand on a clock move in exactly 3 hours if the hour had is 2.00 cm long?

I think you are supposed to use arc length formula.

This is what I got so far:

s=r(radian symbol) = 3=1(radian symbol)
 
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dtippitt said:
How far to the nearest hundreth cm, does the tip of the hour hand on a clock move in exactly 3 hours if the hour had is 2.00 cm long?

I think you are supposed to use arc length formula.

This is what I got so far:

s=r(radian symbol) = 3=1(radian symbol)

the hour hand of an analog clock moves 1/12 of a revolution in one hour.

one revolution is 2pi radians

$s = r \cdot \theta$

take it from here?
 
dtippitt said:
How far to the nearest hundreth cm, does the tip of the hour hand on a clock move in exactly 3 hours if the hour had is 2.00 cm long?

In 3 hours, the hour hand turns through a right angle, i.e. a quarter of a circle. What is a quarter of the circumference of a circle of radius 2 cm?
 
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