How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (the gear has a radius of 4 inches) explain how you would solve this.

10.5 inch

Step-by-step explanation:

As we know that the angle rotated in one complete rotation is 360 degree.

The distance traveled in one complete rotation is circumference of the circle.

So, in 360 degree, the distance covered = 2 x 3.14 x Radius

                                                                    = 2 x 3.14 x 4 = 25.12 inch

In 1 degree, the distance covered = 25.12 / 360 inch

In 150 degree, the distance covered = 25.12 x 150 / 360 = 10.5 inch

the first one, all those points on the line just make a strait line.

i’m sorry but i don’t know sorry