Answer:
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 = 11 inches
θ = pi/4
2π = 360 degrees
π = 360/2 = 180
Therefore,
θ = 180/4 = 45 degrees
Therefore,
Length of arc = 45/360 × 2 × 3.14 × 11
Length of arc = 8.64 inches rounded up to 2 decimal places
