A man with a light appetite could not finish his 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 answer the question!
I have no idea what the answer is, anyone else know? My friend gave it to me!
2007-10-31 14:25:41 · 8 answers · asked by Matthew C 2 in Entertainment & Music ➔ Jokes & Riddles
Haha this isn't homework, I'm doing year 12 Further Maths (Exam in 3 days!) and we don't get stuff like this!
2007-10-31 14:42:53 · update #1
Imagine starting by putting the diameter of the pizza directly in the corner of a box 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
≈ 1821.383 sq. cm
Since they want us to round to the nearest whole number, the answer is 1821 sq. cm
I drew the following diagram to help explain things.
2007-11-01 20:55:14 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
First things first, it's asking for a square, 50x25 gives the same area, as the square you're looking for, but it's not the smallest that will fit it, 50x50 completely disregards the half taken out.
The problem with this one is that you have to rotate the half pizza, but respect the curve.
Also, this is very obviously #238 of lenny.
2007-10-31 16:24:58 · answer #2 · answered by winkner 2 · 1⤊ 0⤋
The pizza is 50cm long and 25cm wide since it is half a cirlce. So you have 50x25= 1250 cm squared. But if the box has to be exactly square then its 50x50= 2500cm squared.
2007-10-31 14:30:37 · answer #3 · answered by Bob 5 · 0⤊ 0⤋
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2016-11-09 21:48:44 · answer #4 · answered by ? 4 · 0⤊ 0⤋
2500 square cms. 50x50 which would be the dimensions of the box, assuming that the pizza was perfectly round.
2007-10-31 14:29:55 · answer #5 · answered by evilim 5 · 0⤊ 1⤋
50cm x 25cm
1250 sq cm
2007-10-31 14:30:05 · answer #6 · answered by gitter1226 5 · 0⤊ 0⤋
tell them never mind
just wrap it in saran wrap
hahha
cheers
2007-10-31 14:30:01 · answer #7 · answered by Now I'm Outta Here 7 · 1⤊ 0⤋
How about you do your OWN homework, dude! "My friend gave it to me"... suuuuure
2007-10-31 14:31:00 · answer #8 · answered by GrumpyLumpkin 1 · 0⤊ 0⤋