Answer: length of arc is 44 cm.
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 8 cm
Angle subtended by the bold arc,θ = 315 degrees
Therefore,
Length of arc = 315/360 × 2 × 3.14 × 8
Length of arc = 44 cm rounded up the nearest whole number.