How do I find the area of shaded sector? Total area is 113.04 and radius is 6

picture of circle: http://gyazo.com/c50abe8f2b845fa7787e13664dc9f753

Question

How do I find the area of shaded sector? Total area is 113.04 and radius is 6

picture of circle: http://gyazo.com/c50abe8f2b845fa7787e13664dc9f753

anonymous · Answer

I heard this sight was good, but so far I haven't had any help.

akashdeepdeb · Answer

*site

Is ZCW = 120 ?

anonymous · Answer

No, TV=120

akashdeepdeb · Answer

ZT = VW ?

anonymous · Answer

Yes

akashdeepdeb · Answer

What else is given?

anonymous · Answer

Area of TV= 37.68
Area pf ZY= 28.26
Area of WX= 9.42

mokeira · Answer

you can use the area of TV to find the radius...r=5.998478935

Have you any information for VW?

anonymous · Answer

I know radius is 6, but it is difficult for me to find the measures of the other angles.

anonymous · Answer

I only know VW is congruent to TZ

mokeira · Answer

if zt=vw
360-(120+30+90)=120
so zt is 60 and wv is 60

mokeira · Answer

sorry that is wrong I hadnt seen c

mokeira · Answer

zx is a diameter so angles between zy and yx should ad up to 180

anonymous · Answer

if zx is diameter the angle c has to be 90 dedgrees but it does not have a 90 degree marking on it

anonymous · Answer

sorry for my english

mokeira · Answer

I think that is part of the question. I think you were suppsed to find that its value is 90

mokeira · Answer

but you are right, there is a possibility of both. It is either 90 or not

mokeira · Answer

Your english is perfect

mokeira · Answer

is it is 90, tz and vw will be 15 each

anonymous · Answer

yeah, you're right.

mokeira · Answer

Awesome

anonymous · Answer

thank you for the help

mokeira · Answer

glad to help

akashdeepdeb · Answer

ZX is not diameter. At least, I do not think so.