Final answer:
The arc length of the circle with a radius of 5.5 cm and a central angle of 5/2 radians is approximately 785 cm.
Step-by-step explanation:
The arc length of a circle can be found using the formula:
Arc Length (s) = Radius (r) * Central Angle (θ)
In this case, the radius is given as 5.5 cm and the central angle is given as 5/2 radians. Convert 5/2 radians to degrees by multiplying by 180/π:
θ = (5/2) * (180/π) = 450/π degrees
Now substitute the values into the formula:
s = 5.5 cm * (450/π) degrees
Calculate the approximate value of π as 3.14 and simplify the expression:
s ≈ 5.5 cm * (450/3.14) ≈ 785 cm
Therefore, the arc length of the circle is approximately 785 cm.