TMUA 2017 Paper 1 Q9 — Worked Solution

P1·Coordinate Geometry·5.0Official · 2017 · Q9

circle-equationcomplete-the-squareregular-hexagoninscribed

A circle has equation

x^{2} + y^{2} - 18 x - 22 y + 178 = 0

. A regular hexagon is drawn inside this circle so that the vertices of the hexagon touch the circle. What is the area of the hexagon?

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