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Mathematics 53 Online
OpenStudy (anonymous):

The area of a circle is given by the formula A= pie r^2, where r is the radius. If increasing the radius of a circle by 1 inch gives the new circle and area of 100 pie square inches, what in the radius of the original circle?

OpenStudy (asnaseer):

If you call the radius of the original circle r, then how would you represent the radius of the new circle which is the original circles radius plus 1" ?

OpenStudy (anonymous):

I have no idea! @asnaseer

OpenStudy (asnaseer):

|dw:1361141247494:dw|

OpenStudy (asnaseer):

you are told that the radius is increased by 1 inch. so what do you think is the relationship between r and R?

OpenStudy (asnaseer):

R = r + ?

OpenStudy (anonymous):

1?

OpenStudy (asnaseer):

correct, so we have the increased radius R = r + 1

OpenStudy (asnaseer):

next, what would be the equation representing the area of the bigger circle?

OpenStudy (asnaseer):

|dw:1361141461989:dw|

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