Attachment 28845

The part that is cut off is asking the area of the shaded section of the circle. How do I solve this problem only knowing one side of the square?

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- July 17th 2013, 07:53 AManthonybjj94SAT Geometry Question
Attachment 28845

The part that is cut off is asking the area of the shaded section of the circle. How do I solve this problem only knowing one side of the square? - July 17th 2013, 08:02 AMMINOANMANRe: SAT Geometry Question
there is a problem with your post

I can't see the problem.... - July 17th 2013, 08:07 AManthonybjj94Re: SAT Geometry Question
Thank you. I will try to remedy this.

- July 17th 2013, 08:09 AManthonybjj94Re: SAT Geometry Question
I updated the post.

- July 17th 2013, 08:34 AMPlatoRe: SAT Geometry Question
- July 17th 2013, 08:38 AManthonybjj94Re: SAT Geometry Question
I understand that the radius is 1, due to the side of the square being the diameter. However, I don't understand how you found O's angle. Can you explain, please?

- July 17th 2013, 09:11 AMPlatoRe: SAT Geometry Question
- July 17th 2013, 09:18 AManthonybjj94Re: SAT Geometry Question
They are perpendicular, correct?

- July 17th 2013, 09:20 AManthonybjj94Re: SAT Geometry Question
and, I believe, make four 45-45-90 triangles, which would mean that the shaded area is 1/4 of the circle.

- July 17th 2013, 09:23 AManthonybjj94Re: SAT Geometry Question
A=Pi(D)

A=Pi(2)/4

A= Pi/2

I think I got it! - July 17th 2013, 09:32 AManthonybjj94Re: SAT Geometry Question
But I do have an additional question:

When I plugged in the radius to the formula A=Pi(r)^{2}I received Pi/4 as an answer. Where did I err? - July 17th 2013, 12:53 PMtopsquarkRe: SAT Geometry Question
- July 17th 2013, 02:51 PManthonybjj94Re: SAT Geometry Question
Silly me. As you can see, I am still knocking the rust off. Thank you for all of the help! What you do is admirable!