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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.

User Nikoss
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8.1k points

1 Answer

4 votes

Answer:


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

User BenSwayne
by
8.5k points

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