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?
Last edited by anthonybjj94; July 17th 2013 at 08:09 AM.
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there is a problem with your post I can't see the problem....
Thank you. I will try to remedy this.
I updated the post.
Originally Posted by anthonybjj94 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? The radius of that circle is 1. The angle at O is . Thus the shaded area is the area of the circle.
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?
Originally Posted by anthonybjj94 I don't understand how you found O's angle. Can you explain, please? You are expected to know about the diagonals of a square. What are the properties of diagonals?
They are perpendicular, correct?
and, I believe, make four 45-45-90 triangles, which would mean that the shaded area is 1/4 of the circle.
A=Pi(D) A=Pi(2)/4 A= Pi/2 I think I got it!
Last edited by anthonybjj94; July 17th 2013 at 09:26 AM.
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?
Originally Posted by anthonybjj94 A=Pi(D) A=Pi(2)/4 A= Pi/2 I think I got it! This is where your error is: , not A. -Dan
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!
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