Respuesta :
Answer:
189.12 cm²
Step-by-step explanation:
If the radius of the stickers is 2 cm, then the diameter of each sticker is 4 cm.
1. Using this, divide each length of the sheet of paper by the diameter of 4 cm to see how many stickers can fit without overlapping.
24 ÷ 4 = 6 stickers
33 ÷ 4 = 8.25 = 8 stickers (only eight whole stickers will fit without overlap)
This means there can be a total of 48 stickers because 6*8 = 48.
2. Find the area of one sticker. The formula for the area of a circle if πr² (pi times radius squared) with 3.14 equal to π.
3.14 · 2² → 3.14 · 4 = 12.56 cm²
3. Multiply the area by the number of stickers that can fit on the sheet of paper (48 stickers).
12.56 · 48 = 602.88 cm²
4. Find the area of the sheet of paper. The formula for the area of a rectangle is length · width.
24 · 33 = 792 cm²
5. Subtract the area of the stickers from the area of the sheet of paper to solve for the remaining bare paper around the stickers.
792 - 602.88 = 189.12 cm²