Question

1. AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 6 and AO = 11.7, what is the length of the radius (r)? Round the answer to the nearest tenth. A. 5.7. B. 8.9. C. 10.0. D. 13.1. If you have all the answers please feel free to write them below. It is connections academy lesson 7: circles unit test unit 7

Answer 1

the picture in the attached figure

we know that

if AB is tangent to circle O at B

then 

OB is the radius and is perpendicular to AB

therefore

in the right triangle ABO

applying the Pythagoras Theorem

AO²=AB²+OB²-------> solve for OB

OB²=AO²-AB²------> 11.7²-6²------> OB²=100.89

OB=√100.89--------> OB=10.04----------> OB=10.0 units

the answer is the option

C. 10.0

Answer 2

Answer:

10

Step-by-step explanation:

Just took the test!