Posted By: Pandora
Math Fun - 08/04/13 04:15 PM
Assume the radius of each circle is 5 inches. How many square inches are in the shaded areas? (round to the nearest hundredth)
Math Fun
Posted By: manxman
Re: Math Fun - 08/04/13 08:32 PM
228.32 
Posted By: Pandora
Re: Math Fun - 08/04/13 10:01 PM
Would you show your work, please.
Posted By: manxman
Re: Math Fun - 08/04/13 10:10 PM
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)...
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)...
Posted By: Pandora
Re: Math Fun - 08/05/13 12:17 AM
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.
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.
Posted By: manxman
Re: Math Fun - 08/05/13 12:47 AM
Great minds think alike 
Posted By: soot
Re: Math Fun - 08/06/13 12:36 AM
Great minds also finished math decades ago 
Posted By: Pandora
Re: Math Fun - 08/06/13 01:48 AM
I hear you, soot. I think Manxman remembers a lot more than I do. 