Answer for Day 4 Math Problem

747.88 square inches 🎯

Equivalent answers in other units or in terms of π 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 * 36π
6 = 36 - p * 36π
-p * 36π = -30
p = -30/(-36π) = 5/(6π) ≈ 0.7347 ≈ 73.47%

Approximately 73.47% of the pizza was taken by @jancharlest, but we still need the area of the pizza. Since area = π * radius² which gives 324π square inches or approximately 1,017.88 inches², the size of @jancharlest's pizza slice is 1017.88 * 0.7347 ≈ 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. 😃💰

• @minus-pi's percentage of 73.47% is correct, but it looks like he miscalculated the area of the pizza which is 324π inches² or 1,017.88 inches², not 2,035.87 inches². 😁
• 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. 😅
• @dkmathstats's answer was way off (especially since the answer should be in terms of π 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. 🙂
• 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 🤓
Special mentions: @dbuzz, @chrisrice, @jancharlest, and @mehmetfix 🤯