# Math Help - circle geometry

1. ## circle geometry

Could someone take a look at this? I think the answer is 32. Am I right?

2. Come on, Sanee!

No lengths are given . . . so, $KM$ could be 10,000,000.

And is $GL = LK\:?$

Is there any other information you're withholding from us?

3. ## value of km

Sorry about that, it didn't carry over in pasting.

KG = IJ = 32 and LM is tangent to the circle. Which is the value of km?

4. Hello, Sanee!

$KG \, = \, IJ \, = \,32$ and $LM$ is tangent to the circle.
Which is the value of $KM$ ?

Since $IJ \,=\,32$, the radius is: . $GL = 16$

Since $KG \,=\,32$, then $LK \,= \,16$

$\Delta KLM$ is a 30-60 right triangle.

. . Therefore: . $KM \:=\:2(LK) \:=\:2(16) \:=\:32$