# 2018 AIME I Problems/Problem 2

## Problem

What is the area of the polygon whose vertices are the points of intersection of the curves and

## Solution

The first curve is a circle with radius centered at the origin, and the second curve is an ellipse with center and end points of and . Finding points of intersection, we get , , and , forming a triangle with height of and base of So the area of this triangle is $9 \cdot 6 \cdot 0.5 =27 \