# Calculus - urgent

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An isosceles triangle is inscribed in a circle of fixed radius R and centre O. What is the minimum area of the region outside the triangle and inside the circle?

• Calculus - urgent -

The minimum would correspond to an equilateral triangle inside the circle.

The area outside the triangle is in that case (pi - 1.5sqrt3)R^2 = 0.5435 R^2

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