Math question, please help

[mountainboo]

One member of a committee makes circular name tags 60mm in diameter, from sheets of card.

The sheets of card measure 20cm x 30cm.

What is the maximum number of name tags she can make from each sheet?

I don't want the answer, I really need to know what sum I am supposed to do????

[carrot99]

how about the area of the sheet of card divided by the area of a name tag?

[Pigletion]

so area of a circle is pi x radius squared where radius is half the diameter. You also need to work out how close the circles can get, as obviously they don't tessellate so there will be some wasted card.

alterniatavely, you could just assume that as each circle has a diameter of 60 mm it will fit in a 60 mm x 60 mm square and do the calculation from there...? (60 mm = 0.6 cm). Obviously can only have as many circles wide as there are 0.6 cm in 20 cm.

Hope that makes some sense, it's hard to articulate when I can't draw you a diagram!

[Pigletion]

obviously mean 60 mm = 6 cm!!

[ChuckFickens]

easy way is turn the circle into a 60mm square

so on a 200mm x 300mm bit of card you will get 3x5 so 15 in total.

I doubt you'd get any more by offsetting the circles on that small a piece of card so squares wil do :)

[Kos]

What's this got to do with Jobs & Education???

[mountainboo]

Thanks all. Great help

[factor-fiction]

'Cos, Kos, it's a school homework/coursework question so Education is as good a category as any

[Margaret007]

common sense tells me 15

6cm x 6cm out of 20cm x 30cm =

20/6 = 3
30/6 = 5
5 x 3 = 15
or
is this a trick Question?