A piece of a broken circular gear is brought into a metal shop so that a replacement can be built. A ruler is placed across two points on the rim, and the length of the chord is found to be 14 inches. The distance from the midpoint of this chord to the nearest point on the rim is found to be 4 inches. Find the radius of the original gear. I don't get how to draw this

1 answer

draw the chord.
Draw the radius through the center of the chord.
Draw a radius to the end of the chord.
If the radius of the gear is r, you can see that

r^2 = (r-4)^2 + 7^2
r = 65/8