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#905721 - 08/04/13 11:15 AM Math Fun
Pandora Offline

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Registered: 08/06/00
Posts: 46368
Loc: Upstate NY
Assume the radius of each circle is 5 inches. How many square inches are in the shaded areas? (round to the nearest hundredth)

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#905775 - 08/04/13 03:32 PM Re: Math Fun [Re: Pandora]
manxman Offline
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Registered: 07/23/02
Posts: 16481
Loc: Unionville
228.32 smile
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#905799 - 08/04/13 05:01 PM Re: Math Fun [Re: Pandora]
Pandora Offline

Sonic Boomer

Registered: 08/06/00
Posts: 46368
Loc: Upstate NY
Would you show your work, please. smile
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#905805 - 08/04/13 05:10 PM Re: Math Fun [Re: Pandora]
manxman Offline
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Registered: 07/23/02
Posts: 16481
Loc: Unionville
Area of 1/4 of a circle is (25/4)*pi
Area of triangle part of the piece is (1/2)*5*5
Area of upper part of piece is the difference between the two Areas=(25/4)*(pi-2)
Area of one of the shaded parts is 2*(25/4)*(pi-2)=(25/2)*(pi-2)
There are 16 such shaded parts so the total shaded area is 16*(25/2)*(pi-2)=200(pi-2)...
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#905836 - 08/04/13 07:17 PM Re: Math Fun [Re: Pandora]
Pandora Offline

Sonic Boomer

Registered: 08/06/00
Posts: 46368
Loc: Upstate NY
Area of 1/4 of a circle is (25/4)*pi
Area of triangle part of the piece is (1/2)*5*5
Area of upper part of piece is the difference between the two Areas= (25/4)pi -(25/2)
Area of one of the shaded parts is 2*[(25/4)pi -(25/2)] = 14.26
There are 16 such shaded parts so the total shaded area is 16 * 14.26 = 228.16

I'm glad we agree. smile
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#905844 - 08/04/13 07:47 PM Re: Math Fun [Re: Pandora]
manxman Offline
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Registered: 07/23/02
Posts: 16481
Loc: Unionville
Great minds think alike grin
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#906018 - 08/05/13 07:36 PM Re: Math Fun [Re: Pandora]
soot Online   happy
Puzzled Moderator
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Registered: 04/16/05
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Great minds also finished math decades ago wink
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#906041 - 08/05/13 08:48 PM Re: Math Fun [Re: Pandora]
Pandora Offline

Sonic Boomer

Registered: 08/06/00
Posts: 46368
Loc: Upstate NY
I hear you, soot. I think Manxman remembers a lot more than I do. lol
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