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 = 7 inches
θ = pi/4
2π = 360 degrees
180 degrees = π radians
1 radian = 180/π
2.1 radians = 2.1 × 180/π = 120.38 degrees
Therefore,
Length of arc = 120.38/360 × 2 × 3.14 × 7
Length of arc = 14.7 inches rounded up to 1 decimal places
