A circle with a radius of 10 inches is divided into sectors by an angle of 45 degrees. What is the length of the arc subtended by this angle?

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