Answer:
502.65 cm
Step-by-step explanation:
The angle through which the second hand moves is 2π radians per minute. Then in 10 minutes, it covers an arc of ...
(10 min)(2π rad/min) = 20π radians
The length of the arc traversed by the tip of the hand is given by ...
s = rθ
where θ is the angle in radians, and r is the radius of the arc.
For the given arc angles and radius, the distance traveled by the tip of the second hand in 10 minutes is ...
s = (8 cm)(20π radians) = 160π cm ≈ 502.65 cm
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We have used the "pi button" value of π. If you use 3.14, you will get a different answer. This value is correctly rounded to 2 decimal places. You can round it to whatever precision your problem requires.
