The minute hand of a clock is 10cm long. how far does the tip of the hand moves in 20 minutes
Answers
Answer:
AB = 10√3 cm or 17.32 cm
Distance covered = 20.95 cm
Step-by-step explanation:
The minute hand of a clock is 10cm long. how far does the tip of the hand moves in 20 minutes
Minute hand completes a cycle of 360° in 60 minutes
in 20 minutes = 120°
Length of arc covered in 20 minutes = (120°/360°)2 (22/7) * 10
= 440/21 cm
= 20.95 cm ( this is distance covered by tip)
Let say AB is the Arc
but Tip will be far only for straight line
so we need to calculate Length of AB straight line
Angle at center O = 120°
OA = OB = Radius = 10 cm
Let draw Perpendicular bisector from O at AB as M
∠AOM = ∠BOM = 120°/2 = 60°
Sin60° = AM/OA
=> √3 / 2 = AM /10
=> AM = 10√3 / 2
AB = 2AM
=>AB = 10√3
=> AB = 17.32 cm
Tip wil be 17.32 cm far
Answer:
Anwer given below are the wrong one
Step-by-step explanation:
Type the Q again so i ll explain u easily