The measure of the side of an equilateral triangle is 6cm. Then area of circle touching all three sides of given triangle is ------cm2 (a) pie (b) 3 pie (c) 12 pie (d) 36pie

Answer 1

P = 6 + 6 + 6 = 18 cm.

P/2 = 18/2 = 9 cm.
S1/2 = S2/2 = S3/2 = 6/2 = 3 cm.

At = sqrt(9*3*3*3) = 15.6 cm^2 = 5pi = Area of triangle.

Ac > 5pi = 12pi.