Question

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?

Answer 1

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