The minute hand of a clock is 6cm long.how far does the end of the hand travel in 35minute
35/60 of the circumference of a circle of radius 6.
I assume you know how to find the circumference of a circle...
35 minutes is 35/60 of a ration, so the central angle of the sector covered
= (35/60)(2π) radians = 7π/6 radians
arc length = radius * angle , where the angle is in radians
or
circumference = 2πr = 2π(6) = 12π
so the hand covered 35/60 of that, so .....
The same with Reiny's solution,100percent correct. Just helped in my assignment KUDOS. NAMASTE (an India greeting)don't mind me. LOTS OF LOVE ❤ ONE LOVE ❤ 💐 💕 .
To determine how far the end of the minute hand travels in 35 minutes, we need to calculate the arc length covered by the minute hand.
The minute hand of a clock traces a circle with the center at the center of the clock, and the length of the minute hand is the radius of this circle. In this case, the length of the minute hand is given as 6 cm.
The formula to calculate the arc length of a sector of a circle is:
Arc Length = (∠θ/360) × 2πr
In this case, we have an angle of 35 minutes, which corresponds to ∠θ = (35/60) × 360 degrees.
Let's calculate the distance traveled by the end of the minute hand:
Arc Length = ((35/60) × 360/360) × 2π × 6 cm
Arc Length = (35/60) × 2π × 6 cm
We can simplify this calculation further:
Arc Length = (7/12) × 2π × 6 cm
Now, we can calculate the arc length:
Arc Length ≈ 21.98 cm
Therefore, the end of the hand of the clock travels approximately 21.98 cm in 35 minutes.