Difference between revisions of "2023 AMC 10A Problems/Problem 15"
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| − | + | An even number of circles are nested, starting with a radius of <math>1</math> and increasing by <math>1</math> each time, all sharing a common point. The region between every other circle is shaded, starting with the region inside the circle of radius <math>2</math> but outside the circle of radius <math>1.</math> An example showing <math>8</math> circles is displayed below. What is the least number of circles needed to make the total shaded area at least <math>2023\pi</math>? | |
Revision as of 20:55, 9 November 2023
An even number of circles are nested, starting with a radius of 
and increasing by each time, all sharing a common point. The region between every other circle is shaded, starting with the region inside the circle of radius 
but outside the circle of radius 
An example showing 
circles is displayed below. What is the least number of circles needed to make the total shaded area at least 
?
