SOLUTION: I tried what I though the teacher told me in school. I don't think I understood because I am lost! Sorry to have a difficult problem! Thank you for your time and energy explaining

Question 740293: I tried what I though the teacher told me in school. I don't think I understood because I am lost! Sorry to have a difficult problem! Thank you for your time and energy explaining it to me.
Find shaded area, center O.
here is the picture of it! Thank you!
http://screencast.com/t/sZHHaVYVOp2
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
That is a right triangle with all three vertices on a circle, and the hypotenuse is the diameter of the circle. Area of the circle minus area of the triangle equals the shaded region. Your goal is the area of the shaded region.

Further, this is a 30-60-90 right-triangle, half of an equilateral triangle. You are given the length of one leg, and the length of the hypotenuse, being also a diameter of the circle, is two times the length of the given leg.

With that, the diameter is units. Also, 8 is the radius.
Area of the circle is .

Area of the Triangle:
You want the length of the other leg.
, letting h = this other leg.

Area of triangle is
=.

The shaded region then is which you can compute and calculate in whichever form you need.
RELATED QUESTIONS
2x+3y=8 3x+2y=7 I have to determind how many solutions exit. Use either elimination or (answered by mananth,ccs2011)

Hi! I'm a senior in nursing school, yet I can't remember the last time I had to solve an... (answered by rothauserc)

Hello. I am sorry for the bother, but please help me. During the summer, I must study... (answered by jim_thompson5910)

i am supposed to identify like terms but i don't understand it my problem is... (answered by rfer,ankor@dixie-net.com)

hey there, I really don�t know in which category this goes, but my teacher gave me this... (answered by josgarithmetic)

TESTIMONY ON HOW I GOT A LOAN FROM THIS COMPANY. I am Jamin Rodger by name, i am a... (answered by Alan3354)

Please can someone help me why I'm very confused with what my math teacher taught and i... (answered by kevwill)

Can you help me to learn algerbra 1 and 2 in a few mins because the school skipt me to a... (answered by adamchapman)

In this question the paper gives you a description and you're to put it into a quadratic... (answered by jim_thompson5910,scott8148)