Math mini-contest problem for Day 4 on D.Buzz for April 2021 😎

avatar

Math problem for Day 4 for April 2021 😎

@jancharlest bought a 36-inch (diameter) round pizza for D.Buzz. When he removed a pizza slice whose pointed end is at the center, the remaining pizza's perimeter increased by 6 inches. What is the size of @jancharlest's pizza slice?



0
0
0.000
13 comments
avatar

I went at it for like 10 minutes and couldn't figure it out so I will go with the dumb answer of "no solution". My geometry isn't the best.

0
0
0.000
avatar

73.47% of the whole pizza or 1495.75 sq.in.
so either @jancharlest is very hungry or I made a mistake :D

Posted via D.Buzz

0
0
0.000
avatar

The original problem did not mention that @jancharlest ate all the pizza he took. πŸ€” Of course there is the option of sharing with others the huge pizza slice he took! 😁

0
0
0.000
avatar

I got 270 square inches for the size of the slice.

0
0
0.000
avatar

Shouldn't the answer intuitively have some fractional parts or be in terms of Ο€? πŸ€” Anyway, thanks for participating! πŸ˜€

0
0
0.000
avatar
Connect

Trade


@savvyplayer! This post has been manually curated by the $PIZZA Token team!

Learn more about $PIZZA Token at hive.pizza. Enjoy a slice of $PIZZA on us!

0
0
0.000
avatar

I used the #pizza tag just because it was part of my Math problem featuring @jancharlest. 😁 I did not know that I would get free PIZZA tokens just by using the tag! πŸ˜…

πŸ•πŸ•πŸ•

0
0
0.000
avatar

Answer for Day 4 Math Problem

747.88 square inches 🎯

Equivalent answers in other units or in terms of Ο€ shall be accepted.

Solution

The problem is about the area of the sector of the circle, since the problem asks for the size (area) of the pizza slice taken by @jancharlest. The problem states that when the pizza slice was removed, the perimeter of the remaining pizza increased by 6 inches.

The 6-inch increase in perimeter is equal to the increase of twice the radius of the circle minus the portion of the circumference that was gone. To get the percentage of the portion of the circumference that was gone (which is equal to the percentage of the entire pizza, because the vertex of the pizza slice is at the center of the circle), we will use the equation below.

increase in perimeter of circle = 2 * radius - percentage * circumference

Using the equation above, we get

6 = 2 * 18 - p * 36Ο€
6 = 36 - p * 36Ο€
-p * 36Ο€ = -30
p = -30/(-36Ο€) = 5/(6Ο€) β‰ˆ 0.7347 β‰ˆ 73.47%

Approximately 73.47% of the pizza was taken by @jancharlest, but we still need the area of the pizza. Since area = Ο€ * radiusΒ² which gives 324Ο€ square inches or approximately 1,017.88 inchesΒ², the size of @jancharlest's pizza slice is 1017.88 * 0.7347 β‰ˆ 747.88 square inches.

Winner: none 🀯

1 HIVE has been split proportionally to the previous days' winners for this month. @minus-pi gets 0.667 HIVE for winning 2 out of 3 days, while @jfang003 gets 0.334 HIVE for winning 1 out of 3 days. πŸ˜ƒπŸ’°

  • @minus-pi's percentage of 73.47% is correct, but it looks like he miscalculated the area of the pizza which is 324Ο€ inchesΒ² or 1,017.88 inchesΒ², not 2,035.87 inchesΒ². 😁
  • I know how difficult some Math problems can get, especially if it is about geometry (or trigonometry) and you need to draw figures. That's why I understand where @jfang003's answer came from. πŸ˜…
  • @dkmathstats's answer was way off (especially since the answer should be in terms of Ο€ or have fractional values), but still, thanks for trying!
  • @dadspardan's answer is one-dimensional (inches instead of square inches), but the 'size' of something refers to its area, not side length or perimeter. πŸ™‚
  • Thanks for the PIZZA, @pizzabot! It would have been more fun if you at least tried to submit an answer for the Math problem! 🀣

Mentions: @holovision, @ahmadmanga (@ahmadmangazap), @paultactico2, and @appukuttan66 πŸ€“
Special mentions: @dbuzz, @chrisrice, @jancharlest, and @mehmetfix 🀯

0
0
0.000
avatar

?? A pizza slice being 73% of the whole pizza???

The answer states 747.88 square inches. I got the other 27% for the slice which is about 270 square inches.

0
0
0.000
avatar

Welcome to "mathland", where values are practically disproportionate! πŸ˜†πŸ˜…

0
0
0.000
avatar

Anyway, thanks for participating! πŸ˜€ Hope you win in my other contests! 😁

0
0
0.000