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#1 2011-07-12 02:14:02

Lynn16
Member
Registered: 2011-07-11
Posts: 180

Help with finding shaded area.

How do you find the shaded area if two circle overlap and the height of the over lap is 4? The radius of both circles is 4 also.

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#2 2011-07-12 02:22:45

Lynn16
Member
Registered: 2011-07-11
Posts: 180

Re: Help with finding shaded area.

Find the area of one segment formed by a square with sides of 6" inscribed in a circle.

(Hint: use the ratio of 1:1:√2 to find the radius of the circle.)



Could you help with this one too?

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#3 2011-07-12 03:09:57

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Help with finding shaded area.

Hi Lynn16,

For #1,

Area = sector CAD + sector CBD - (ΔABC + ΔABD )
i.e.

Last edited by gAr (2011-07-12 03:25:00)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#4 2011-07-12 03:24:19

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Help with finding shaded area.

Bob has already done that, and you even thanked him!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#5 2011-08-01 08:04:00

TMorgan
Member
Registered: 2011-04-13
Posts: 25

Re: Help with finding shaded area.

In the first question 4 is the height of the overlap, not the width.
Of course this assumes a bias toward the horizontal instead of vertical, but I think the writer of the question would see the circles as gAr drew them, but with less overlap.
I get 16 x (pi/3) - (8 x sqrt(3)).

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