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Single Variable Calculus

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Difficult

Maximize Area of an Inscribed Triangle

SVCALC-GLANKT

Find the maximum area possible for a triangle inscribed within a circle of radius $r$.

A

$\cfrac{3\sqrt{3}r^2}{2}$

B

$\sqrt{3}r^2$

C

$\cfrac{3\sqrt{3}r^2}{4}$

D

$\cfrac{3r^2}{4}$