Double the Area of a Circle

[Ben.Moses]

Hi Acorn,

Did 141.4142% or 141.4213% not work for you?

Many thanks,
Ben

[handrawn]

cross posted with ben...

that rings a bell actually back to A sized paper in fact, the ratio of one side [eg 420mm] to the other [eg 594mm]

looking again I can see the 1.333 is obviously wrong... but still its an approximation to four decimal places

[Acorn]

well having though you need to increase the circle by 133.3333333[ad naus.] % in fixed aspect - not too helpful in a decimal calculation if you want precision, but a step in the right direction maybe

Sorry but that increases the area to 177.7(r)%. We need 200%.

Again, don't calculate!

Acorn

[handrawn]

square root of 2 sounds like maths, not my subject 2 pi r squared and all that...

[handrawn]

yes I was looking at the wrong ratio.. so even a precentage is not allowed.... ok....

[Acorn]

cross posted with ben...
that rings a bell actually back to A sized paper in fact, the ratio of one side [eg 420mm] to the other [eg 594mm]
looking again I can see the 1.333 is obviously wrong... but still its an approximation to four decimal places

For two A4s to have the area of one A3 and keep the sides in the same ration then the sides have to be ratio √2:1.
A4 is 297 x 210 mm and 297/210 is 1.414286 (594/420 clearly has the same ratio).

Acorn

[handrawn]

As two sheets of A5 is one A4 and two of A4 is one A3, I would have argued it was 50% area. To get there you need to scale dimensions 70.71% [(√2)/2].

Acorn

70.71% being the obverse [if thats the right word] of 141.4142

but this does not help with the problem <sigh>

[Acorn]

Hi Acorn,
Did 141.4142% or 141.4213% not work for you?
Many thanks, Ben

Yes Ben, it did, but calculations are excluded in this Challenge.

Acorn

[Acorn]

70.71% being the obverse [if thats the right word] of 141.4142
but this does not help with the problem <sigh>

'fraid so. 0.7071 is the inverse of 1.41421.

Acorn

[Ben.Moses]

Hi Acorn,

My bad, thought you were asking for help, didn't realise this was a challenge.

Many thanks,
Ben