If the area of a circle, inscribed in an equilateral triangle is 4π cm⊃2;, then what is the area of the triangle?
Answer: A
Area of a circle = 4π cm⊃2;
πr⊃2; = 4π
r⊃2; = 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)a⊃2;
Area of equilateral triangle = (√3/4)(4√3)⊃2;
= 12√3 cm⊃2;.