Answer:
The length of the arc is 7.85 in
Step-by-step explanation:
First of all we need to calculate the circumference
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 10 in
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 10 in
c = 62.8 in
The length of the circumference is 62.8 in
Now we have to get the relation of the sector with the circle, for this we divide 45° by 360°
45° / 360° = 1/8
we multiply this fraction with the circumference and obtain the length of the arc
62.8 in * 1/8 = 7.85 in
The length of the arc is 7.85 in
