the length of a minute hand clock is 14cms . find the area swept by the minute hand in 5 second
Answers
Answer:
swept by minute hand in 60 minutes = 360 degree
in 1 minute swept = 360/60 = 6
in 5 minutes swept = 6×5= 30 degree
Now area swept by minute hand in 5 minutes
= pie r^2 × pie/6) / 2pie
= r^2 pie/ 12
= 196 × 3.14/12 = 51.28 cm^2
Step-by-step explanation:
Answer:
154/3 cm²
Step-by-step explanation:
angle swept by the clock in 60 minutes = 360°
angle swept in 1 minute = 360°/60= 6°
angle swept in 5 minutes = 6 × 5 = 30°
θ = 30°, radius = length of minute hand = 14 cm
now,
area swept by minute hand in 5 minutes = area of the sector formed by it.
= pie r²θ/360°
= 22/7×14 ×14 × 30/360
= 154/3 cm²