Question

Jessica has some round stickers. Each sticker has a radius of 2 cm. She is trying to cover as much of a sheet of paper that is 24 cm by 33 cm as possible without any overlap and modification of the stickers How much bare paper will be visible around the stickers?

Answer 1

63 bare paper will be visible around the stickers

Explanation:

We are given that Jessica has some round stickers. Each sticker has a radius of 2 cm.

Now she is trying to cover as much of a sheet of paper that is 24 cm by 33 cm

Area of rectangular sheet =
`Length * Breadth`

Area of rectangular sheet =
`24 * 33`

Area of rectangular sheet =792 cm^2

Area of 1 circular sticker =
`\pi r^2`

Area of 1 circular sticker
`=3.14 * 2^2 =12.56 cm^2`

No. of circular stickers can be drawn from a sheet of paper that is 24 cm by 33 cm =
`(792)/(12.56)=63.057`

So, 63 bare paper will be visible around the stickers