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.
Answer & explanation
Correct answer: option 3
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