MathDB

SMT RMT 2014 Geometry #8

Source:

October 28, 2022

geometry

Problem Statement

O

is a circle with radius

1

.

A

and

B

are fixed points on the circle such that

AB =\sqrt2

. Let C be any point on the circle, and let

M

and

N

be the midpoints of

AC

and

BC

, respectively. As

C

travels around circle

O

, find the area of the locus of points on

MN

.

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