http://www.vijaytapanchal.com/collectible-round/
Calculation of Diameter?
To promote a new delivery service, a free collectable card comes with every pizza purchase.
The free collectable card was in the corner of the square box, so that its corner just barely touched the outside of the perfectly-circular pizza. The collectable card measures exactly 140 mm by 70 mm.
What is the diameter of the pizza, in millimetres? Please round to the nearest millimetre.
Thanx Unknown, Just wanted to check answer.
(x-k)^2 + (y-k)^2 = k^2 ; pt (140, 70)
(140-k)^2 + (70-k)^2 = k^2
19600 – 280k +k^2 + 4900 – 140k +k^2 = k^2
24500 – 420 + k^2 = 0
(70-k) (350 – k) = 0
Therefore, radius is 70mm or 350. It cannot be 70, so must be 350.
Radius * 2 = diameter, so diameter to nearest mm is 700.
YOU round it to the nearest diameter. This isn’t a free ‘we’ll do your homework for you’ service. Are you going have a link to Yahoo Answers in your exams?
If you’re stuck, then ask people for help on how to calculate a diameter, and explain why you’re having problems, rather than just posting the entire question.
How to do it – draw yourself a diagram of the box, the pizza and the card. Then think about how big the box must be by working out the different proportions. That will lead you to figuring out the diameter.
Even if you get it wrong, the thought process is far more important than the answer.
Round 5: The Official Mixed Martial Arts (MMA) Collectible
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