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# What is the diagonal length of a football field?

Updated: 10/23/2022

Wiki User

15y ago

Is this a trick question? The length of a football field (American football) is 100 yards. The "diagonal" length, if that is what you really want to know, would be the hypotenuse of the right angle of 100 yards (length) and 50 yards (width). Or, A squared plus B squared equals C squared. 100X100=10,000 plus 50X50=2,500 equals the square root of 12,500, or approximately 111.8 yards. The diagonal length of the playing field is 340 feet. If you include the end zone area, the diagonal length of the entire field is 437.26 feet. A football field is a rectangle. Look at it like its two right triangles abutting each other, all you need to do is determine the hypotenuse, aka the diagonal length, is follow the Pythagorean theorem a2 + b2 = c2, then take the square root of C and you have your answer. Football Field (playing field, not including the end zones): A2 + B2 = C2 A = 300 feet, 3002 = 90,000 B = 160 feet, 1602 = 25600 C2 = ? (A2) 90,000 + (B2) 25,600 = (C2) 115,600 The square root of 115,600 = 340 Football Field (entire playing field, including the end zones): Dimensions of a football field: Length (Playing field) = 300 feet Width = 160 feet Length (Playing field w/end zones) = 360 feet A2 + B2 = C2 A = 360 feet; 3602 = 165,600 B = 160 feet; 1602 = 25,600 C2 = ? (A2) 165,600 + (B2) 25,600 = (C2) 191,200 The square root of 191,200 = 437.26

Wiki User

15y ago

Anonymous

Lvl 1
3y ago
I think your 360ft2 is off.

Anonymous

Lvl 1
3y ago
i get 129600. Which C into 393.954.