Question

Is this tangent to the circle?

Answer 1

if you are asking about AB, Then in order to be a tangent to the circle the m(A) should be equal to 90 degrees. So we have to test it, if measure of angle "A" is 90 or not. Since the 3 sides lengths were given, I guess they want you to use Pythagorean theorem which says the following:

`hyp^(2)= adj^(2)+opposite^(2)`
hypotenuse in here is the 16 unit length side, the adjacent is AB and the opposite is the diameter with length of 6.4 unit length.
if
`16^(2) = 6.4^(2)+9.6^(2)` then m(A)= 90 degrees and it will be a tangent.

`16^(2)=256`

`6.4^(2) + 9.6^(2)=40.96+92.16=133.12`
so the theorem is not applicable in this situation so the
`m(A) \\eq 90 degrees`
therefore AB is not a tangent

Answer 2

Hello,

Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°