Answer:
4.71 in
Explanation:
The shape above can be liken to an arc.
The following data were obtained from the question:
Angle sustained (θ) = 45°
Radius (r) = 6 in
Pi (π) = 3.14
Length of arc (L) = a
The length of the arc can be obtained as follow:
L = θ/360 × 2πr
a = 45/360 × 2 × 3.14 × 6
a = 0.125 × 2 × 3.14 × 6
a = 4.71 in
Thus, the value of 'a' is 4.71 in