The difference between the arc BD and arc CE will be 3.14 units.
The complete question is given below.
Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The diagram is shown below.
The arc length of CE will be
CE = (45/180) 2π x 8
CE = 12.56 units
The arc length of BD will be
BD = (45/180) 2π x 6
BD = 9.42 units
Then the difference between the arc BD and arc CE will be
CE - BD = 12.56 - 9.42
CE - BD = 3.14
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ1
