Question

AB is tangent to circle O at B. The figure is not drawn to scale. If AB=6 and AO=9.4,what is the length of radius r to the nearest tenth?

Answer 1

Tangents are perpendicular to radii at the point of tangency, so angle B is a right angle and triangle AOB is a right triangle.

You can use the Pythagorean theorem to solve, where AO is the hypotenuse

Answer 2

Can you help me with that?

Answer 3

Use \(a^2+b^2=c^2\)
a = AB = 6
b = what you're solving for
c = AO = 9.4

plug in the numbers and solve for b

Answer 4

36+b^2=88.36

Answer 5

right so far

Answer 6

Would I divide each side by 36?

Answer 7

subtract 36 from both sides

Answer 8

52.36?

Answer 9

yes. now take the square root

Answer 10

7.2

Answer 11

right