Question

Points C and D lie on circle O as shown below. If OC = 6x+2 and OD = 10x -16, then find the length of the radius of circle O.

Answer 1

The radius of the circle is a constant digit and does not vary from one point to another.

Radius = OC = OD

Solve for x:

10x -16 = 6x+2

4x = 18

x = 9/2 = 4.5

Substitute 'x' back into OC:

OC = 6(4.5) + 2 = 29

Radius = 29