Question

AB is tangent to circle O at B. Find the length of the radius R for AB=9 and AO=10.Round to the nearest tenth.

Answer 1

`r=13.4`

Step-by-step explanation:

From the question we are told that:

Tangent
`AB=9`

Length
`AO=10`

Generally the angle at tangent
`\theta=90 \textdegree`

Therefore

Generally the equation for raduis R is mathematically given by

`AO^2=AB^2+BO^2`

`10^2=9^2+r^2`

`r=\sqrt[100+81}`

`r=13.4`