Question
The radius of a large pizza is two times plus 3 inches larger than a small pizza. The area of the small pizza is 33 square inches less than the large pizza. What is the radius of the larger pizza?
Answers
drwls
Call the small pizza radius r and the large pizza radius R.
R = 2r +3
pi R^2 = pi r^2 -33
= pi*(4r^2 + 6r + 9)
3r^2 + 6r + (33/pi) +9 = 0
Solve that quadratic for r.
Are you sure the problem did not say
"The area of the small pizza is 33 pi square inches less than the large pizza. " ?
The answer would be easier to write down in that case, because the pi factors would cancel out
R = 2r +3
pi R^2 = pi r^2 -33
= pi*(4r^2 + 6r + 9)
3r^2 + 6r + (33/pi) +9 = 0
Solve that quadratic for r.
Are you sure the problem did not say
"The area of the small pizza is 33 pi square inches less than the large pizza. " ?
The answer would be easier to write down in that case, because the pi factors would cancel out
Anonymous
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