a circle is inscribed in an equilateral triangle of side √3s units is area
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Answer:
= 10.8871765 units.
Step-by-step explanation:
The equilateral triangle forms 6 congruent triangles within the equilateral triangle.
These congruent triangles will have their angles as 30, 60 and 90 degrees.
The base of the congruent triangles will be half the side of the equilateral triangle and so 1.5 units.
The altitude of the equilateral triangle will be 1.5 tan 30 = 0.866025403 unit and the hypotenuse,
which will also be the radius of the inscribed circle = 1.5 sec 30
= 1.732050808 unit.
The circumference of the circle =
(2*22/7)*1.732050808
= 10.8871765 units.
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Answer:
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