06/12 : TMT wins A semifinal vs 7 PT Spread 21-14
TMT improves to 2-0 in the postseason, while 7 PT Spread exits at 1-1.
This is the fewest points scored in a game this season by TMTThe victory continues a 8 game winning streak for TMT which now stands at 9 wins in a row.
The loss ends a 3 game winning streak for 7 PT Spread.
These teams are very familiar with one another, having now played 5 times. TMT currently owns a 5 game winning streak in this rivalry. Their previous contest occured in a Fairfax County Flag Football League "A" playoff semifinal game Jun 12 2014, 20:00, which TMT won 21-14. Overall, TMT is 5-0 against 7 PT Spread.
Gametime temperature was a mild 73 degrees under clear skies.
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I strained my brain for a few mietnus after class trying to figure this one out... and then my colleague strolled over and told me how easy it was. Think of it this way: all the circles` centers lie on the same line, so you need to think in terms of semicircles.How do I find the area of the blue region, for example? I need to calculate the area of Circle C, which is the biggest circle. Then I need to calculate the respective areas of Circles A and B. Next, I need to subtract half the area of Circle B from half the area of Circle C, and I also need to add half the area of Circle A.Then we figure it the other way for red.Hell, let`s do this.Based on the ratios given, we know the diameter of Circle C is 7. So...Area of C = (3.5^2)π = 12.25πArea of B = (2^2)π = 4πArea of A = (1.5^2)π = 2.25πBlue region`s area:[(1/2)(12.25π)] - [(1/2)(4π)] + [(1/2)(2.25π)]= 5.25πRed region`s area[(1/2)(12.25π)] + [(1/2)(4π)] - [(1/2)(2.25π)]= 7πThe ratio of blue to red is thus5.25/7, or 21/28, or 3/4.That`s a lot of work merely to confirm what I had initially suspected! Without doing any math-- and before my colleague had shown me the light-- I had thought the answer would be either 3/4 or 9/16, based purely on the info we were given about the respective diameters of Circles A and B, and my assumptions about the areas of those circles.So there we are. I`ll need to confirm this answer, but I`m pretty sure I`m right. |