Question

Given B is a point of tangency, find the radius of circle C pic below

Answer 1

Is 18 a hypotenuse or half of it?

Answer 2

i think it is the hypotenuse

Answer 3

Pythagorean theorem. The tangent here is just showing that B is a right angle, therefore implying the usage of Pythagorean theorem.

This is the theorem:
A^2+B^2=C^2.

18 is your hypotenuse (C), 24 is your leg (A). Line CB is your second leg (B).
24^2+B^2=18^2
576+B^2=324

Subtract 576 to 324.

576+B^2=324
-576 -576
-----------------
0 +B^2=252

Square root B^2 and 252.

Now yeah your'e going to get a negative number because somehow your hypotenuse is longer than a leg, which is just weird.

So you're going to ignore that negative in -252 Because you can't have a negative measurement and a negative in a radical (it becomes "imaginary").

You're left with 6sqrt(7), assuming that your numbers are correct.

Answer 4

oh wow thank you soo soo much :)

Answer 5

No problem.

Answer 6

I'd appreciate a "Best Response!" Hahah. :)

Answer 7

sorry just gotta let me kno lol