MathDB

2021 Geo #7: Rotate?

Source:

May 30, 2021

geometryrotation

Problem Statement

Let

O

and

A

be two points in the plane with

OA = 30

, and let

\Gamma

be a circle with center

O

and radius

r

. Suppose that there exist two points

B

and

C

on

\Gamma

with

\angle ABC = 90^{\circ}

and

AB = BC

. Compute the minimum possible value of

\lfloor r \rfloor.

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