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2

Part of 1987 Swedish Mathematical Competition

Problems(1)

length of arc > 2R if circle is divided in parts of equal areas by other circle

Source: 1987 Swedish Mathematical Competition p2

3/28/2021
A circle of radius RR is divided into two parts of equal area by an arc of another circle. Prove that the length of this arc is greater than 2R2R.
arcGeometric Inequalitiesgeometryequal areas