A circular clock has the hour hand of length 6 inch. Find the length of the distance it covers by it's tip from 9 p.m. to 3 a.m.

6π inch

Length of hour hand = 6 inch.

Arc length = \(\frac{2πrθ }{360°}\)

Hours taken from 9 p.m. to 3 a.m. = 6 hours.

In 6 hours, hour hand complete half round means makes = 180° angle.

Length of hour hand = The radius of the circle = 6 inch

Length of the distance it covers by it's tip from 9 p.m. to 3 a.m makes arc.

Arc length = \(\frac{2π × 6 × 180 }{360°}\) =  6π inch