2006 iTest Problems/Problem U2
Revision as of 00:19, 3 December 2018 by Rockmanex3 (talk | contribs) (Solution to Problem U2 -- Carved Quad in a Circle)
The following problem is from the Ultimate Question of the 2006 iTest, where solving this problem required the answer of a previous problem. When the problem is rewritten, the T-value is substituted.
Problem
Points and lie on a circle centered at such that is right. Points and lie on radii and respectively such that , , and . Determine the area of quadrilateral .
Solution
Let be the length of . The radius of the circle is , so the length of is . By the Pythagorean Theorem, Since lengths must be positive, . The area of equals the area of minus the area of , so .
See Also
2006 iTest (Problems, Answer Key) | ||
Preceded by: Problem U1 |
Followed by: Problem U2 | |
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