Question

The seconds hand on Mr. Vidler's Analog Alarm Clock is 8 cm long and completes one entire rotation in 60 seconds. Approximately how far does the tip of the seconds hand travel in 5 minutes and 15 seconds? Round your answer to the nearest tenth and Include Units

Answer 1

263.9 cm

Explanation:

1 full rotation is the circumference of the circle with radius 8 cm.

C = 2πr

C = 2 × 3.14159 × 8 cm

C = 50.265 cm

In 1 rotation, which takes 60 seconds or 1 minute, the tip of the seconds hand travels 50.265 cm.

5 minutes and 15 seconds = 5.25 minutes

In 5.25 minutes, the tip of the seconds hand travels 5.25 times the distance it traveled in 1 minute.

5.25 × 50.265 cm = 263.9 cm