A Pteri with a light appetite could not finish his Rainbow Melt Pizza. In fact, he could only eat exactly half of it.
If the diameter of the pizza was 50cm, and the half-pizza was a perfect semicircle, what is the area of the smallest square box, in square centimetres, that could contain the half pizza? Please disregard the thickness of the box, round to the nearest whole number, and please only submit a number for your answer.
2007-11-01 08:52:14 · 3 answers · asked by kelly_h@verizon.net 1 in Science & Mathematics ➔ Mathematics
Imagine starting by putting the diameter of the semicircle directly in the corner of a square but at a 45 degree angle. That makes a 45-45-90 triangle with the hypotenuse being 50 cm.
Now take the midpoint of this and draw your semicircle. The distance from this point up will be the radius (25 cm). And down will be the side of a triangle with hypotenuse 25. This ends up being 25/√2.
So one dimension would be 25 + 25/√2, and so would the other. Multiplying this together we get:
(25 + 25/√2)²
= 25² + 50*25/√2 + (25/√2)²
= 625 + 1250/√2 + 625/2
≈ 625 + 883.883 + 312.5
≈ 1821 sq. cm
I drew the following diagram to help explain things.
2007-11-01 20:59:14 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
Please stop trying to cheat at the Lenny Conundrum, if you don't get it, wait for an easy one and answer quickly for a trophy and avvie. Leave the prizes for the people who can figure them out fairly please. So please just don't cheat, it lowers the prize pool for the people who solved it fairly.
If you see a question with the name Lenny in it just don't answer it, it's cheating, or you can answer then with something like what I have above, please let the people who solve it fairly, reek the benefits, Thank You.
2007-11-03 07:37:23 · answer #2 · answered by Anonymous · 0⤊ 0⤋
2500 SQUARE CM
2007-11-01 09:12:16 · answer #3 · answered by JoannaB3 3 · 0⤊ 0⤋