The maximum area of the equilateral triangle willl be possible when the height of the equilateral triangle = radius of the circle.
For an equilateral triangle, the height is given as
, where a is the side of the equilateral triangle.
Given that the area of the circle =
= 36 *
Therefore r2 = 36 or r = 6
Therefore we have
= 6
Solving for a, we get a =
Area of an Equilateral Triangle is given as
Therefore Area =
Maximum Area =
= 20.7846 cm2.
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