Discussion
If the area of a circle, inscribed in an equilateral triangle is 4π cm², then what is the area of the triangle?
Answer: A
Area of a circle = 4π cm²
πr² = 4π
r² = 4
r = 2 cm.
WKT, Radius of incircle = a/2√3
2 = a/2√3
a = 4√3.
WKT, Area of equilateral triangle = (√3/4)a²
Area of equilateral triangle = (√3/4)(4√3)²
= 12√3 cm².
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