Answered

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 :

okpalawalter8

Answer:

[tex]r=13.4[/tex]

Step-by-step explanation:

From the question we are told that:

Tangent [tex]AB=9[/tex]

Length [tex]AO=10[/tex]

Generally the angle at tangent [tex]\theta=90 \textdegree[/tex]

Therefore

Generally the equation for raduis R is mathematically given by

 [tex]AO^2=AB^2+BO^2[/tex]

 [tex]10^2=9^2+r^2[/tex]

 [tex]r=\sqrt[100+81}[/tex]

 [tex]r=13.4[/tex]

Other Questions