Question

a clock is circular in shape with diameter of 25 cm. find the length of the arc between the markings 12 and 5 rounded to the nearest tenth cm

Answer 1

32.7 cm

Explanation:

For central angle θ in radians, the arc length is given by ...

s = rθ

The angle between 12 and 5 is 5π/6 radians, and the radius is 25/2 cm, so the arc length is ...

s = (25/2 cm)(5π/6) = (125/12)π cm ≈ 32.7 cm

The arc length between the markings is about 32.7 cm.