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Author Topic: Try this  (Read 14343 times)

Offline Mince

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Re: Try this
« Reply #15 on: March 06, 2007, 12:24:34 PM »
Quote from: Tarquin Thunderthighs lll on March 06, 2007, 11:34:06 AM
but I do know the last thing to go through the fly's head upon impact...

sniff of recognition
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Offline Tarquin Thunderthighs lll

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Re: Try this
« Reply #16 on: March 06, 2007, 01:13:27 PM »
Quote from: Mince on March 06, 2007, 12:20:59 PM
Quote from: Tarquin Thunderthighs lll on March 06, 2007, 11:34:06 AM
Thankfully I have work to do now, but the answer to the first one is 16 plus [4 times (pi x circle radius squared)] units squared.

There's just one problem. You don't know the radius.

You asked what the area of the square is. Are you saying my answer is incorrect? Picky, picky, picky!
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I apologise, in advance.

Offline Diane CBPFC

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Re: Try this
« Reply #17 on: March 06, 2007, 02:56:56 PM »
Now is each side 26 potatoes, or is the sum of the three sides 26 potatoes?
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People will come from strange lands to hear me speak my words of wisdom. They will ask me the secret of life and I will tell them. Then maybe I'll finish off with a song. The Nomad

Offline The Peepmaster

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Re: Try this
« Reply #18 on: March 06, 2007, 03:18:17 PM »
Quote from: Diane CBPFC on March 06, 2007, 02:56:56 PM
Now is each side 26 potatoes, or is the sum of the three sides 26 potatoes?

Sum ov the 3 sides is, sum aint.
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Nostalgia is not what it used to be. 😟

Fyodor

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Re: Try this
« Reply #19 on: March 07, 2007, 07:08:20 PM »
300 miles.
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Offline Mince

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Re: Try this
« Reply #20 on: March 08, 2007, 11:06:16 AM »
Yes, well done, Fyodor.

The cars are approaching at a combined speed of 70mph and therefore will cover the 350 miles in 5 hours. In that 5 hours, the fly travels constantly at 60mph (in either direction) and therefore travels 300miles.
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Malc

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Re: Try this
« Reply #21 on: March 08, 2007, 10:30:23 PM »
That's more than five words
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Offline Mince

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Re: Try this
« Reply #22 on: March 08, 2007, 10:33:23 PM »
300 miles isn't longer than five words - different units.
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Malc

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Re: Try this
« Reply #23 on: March 09, 2007, 04:59:49 AM »
three hundred miles is two syllables longer than five words.
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Offline Mince

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Re: Try this
« Reply #24 on: March 09, 2007, 10:27:10 AM »
Malc, you're still using the old system: we've gone metric now.
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Offline The Peepmaster

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Re: Try this
« Reply #25 on: March 09, 2007, 01:21:40 PM »
Quote from: Mince on March 09, 2007, 10:27:10 AM
Malc, you're still using the old system: we've gone metric now.

No, you're on an old system too, Mince. That should read "I've gone mental now", (referring, of course, to you!
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Nostalgia is not what it used to be. 😟

Fyodor

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Re: Try this
« Reply #26 on: March 09, 2007, 07:00:33 PM »
Shut your bracket, Peepmaster.
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Fyodor

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Re: Try this
« Reply #27 on: March 10, 2007, 10:18:09 AM »
What shaded area?
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Offline Tarquin Thunderthighs lll

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Re: Try this
« Reply #28 on: March 10, 2007, 10:20:38 AM »
Don't worry about that, Fyodor - I already gave him the answer.
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Offline Mince

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Re: Try this
« Reply #29 on: March 10, 2007, 10:37:23 AM »
Four circles perfectly fit into one square. The shaded area is 16 (units squared). What is the area of the square?




ANSWER

We don't know the radius of the circles, so we just call it r.

The WIDTH OF THE SQUARE (and height) is four times the radius of the circles, which is 4r.

AREA OF SQUARE = base ? height = 4r ? 4r = 16r?

AREA OF EACH CIRCLE = PI ? r?

AREA OF SQUARE - AREA OF FOUR CIRCLES = SHADED AREA

16r? - PI ? r? = 16

This is where it gets difficult. We factorise for r?.

r?(16 - PI) = 16

Then we divide.

r? = 16 ? (16 - PI)

r? = 1.244

FINALLY

AREA OF SQUARE = 16r? = 16 ? 1.244 = 19.91

I have a twelve-year-old student who can do this.
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