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MATH / You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circles to be less than or equal to 5π. If r+R=10, what i…

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problem

You have two circles, one with radius rr and the other with radius RR. You wish for the difference in the areas of these two circles to be less than or equal to 5π\pi. If r+R=10r+R=10, what is the maximum difference in the lengths of the radii?
Plain-text mathematical notation (without MathML)
You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circles to be less than or equal to 5π. If r+R=10, what is the maximum difference in the lengths of the radii?
Original LaTeX notation
You have two circles, one with radius $r$ and the other with radius $R$. You wish for the difference in the areas of these two circles to be less than or equal to 5$\pi$. If $r+R=10$, what is the maximum difference in the lengths of the radii?

level

Level 5

type

Algebra

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Source and history

task_id
58605d37-1553-52a5-a245-8148ded58460
task_key
algebra--test--58605d37-1553-52a5-a245-8148ded58460
task_revision_id
1
config / split
algebra / test

Official source

initial import