Question

In circle C, GK = 32, HM = 12, and arc KJ = 65. Find CH, CM, and arc HJ if CK is perpendicular to HJ.

I used the theorem "In a circle, if a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc."

But what I don't understand is how to find CH.

Answer 1

@ihatefinalsweek , I do think that picture is somewhat inappropriate.

Answer 2

You might want to change it before the mods think so, too...

Answer 3

Excuse me? Society of men can't chain me down. I am a free woman and I believe I am allowed to display whatever part of my body I please.

Answer 4

Well, there are terms and conditions for using this site..

Answer 5

by abusing those terms and conditions you aren't really allowed to use the site... I mean, you can, but you can't complain if you get banned.

Answer 6

MY BODY IS MINE, SEXY CLOTHES DON'T CAUSE RAPE, RAPIST CAUSE RAPE.

Answer 7

Just trying to help lol. I'm not going to claim to be an asexual honeybadger or anything, but I do want to warn you that mods are not forgiving on this site.

Answer 8

Well, whatever. Can you answer my question? :)

Answer 9

gimme a sec :S

Answer 10

CH: pythagorean theorem prob

Answer 11

I only know 12, how do I find any other measures?

Answer 12

Uh, let me think. It's about 3:00 AM here, and I don't function well that late at night.

Answer 13

kay, got it.

Answer 14

GK is the diameter
CH is then the radius

then find CM using pythagorean thm
the arc you have got already ...65+65 = 130

Answer 15

Similar triangles.

Answer 16

OH THANKS!!

Answer 17

My method is more convoluted, therefore it is better.