Answer:
3.28 cm
Step-by-step explanation:
The calculation is given below:
we assume the following things
R denotes the radius of the circle
And, A denotes An arc
Now , the length of the arc is
L = (A ÷ 360°) × 2 × 3.14 × R
According to the question
R = 6 cm
Angle = 5 minutes and 15 seconds
The clock could complete its revolution in 60 minutes
Therefore
60 minutes = 360°
Also
1 min = 60 seconds
So
1 seconds = 1min ÷ 60seconds
Now for 15 seconds it is
= 15 seconds × (1 ÷ 60)
= (15 ÷ 60) min
= 0.25 min
And for 5 minutes and 15 seconds, it is
= 5 min + 0.25 min
= 5.25 min
Also
60 minutes = 360°
So,
1 minute = 360° ÷ 60min
Now For 5.25min
= (5.25min) × (360° ÷ 60min)
= 31.5°
Finally the length would be
L = (31.5° ÷ 360°) × 2 × 3.14 × 6cm
= 3.28 cm
