Question

A wire when bend in the form of an equilateral triangle encloses an area 121root3 cmsquare. if the square wire is bent into the form of a circle. Find the area of the circle. (use pie=3.14)

Answer 1

Area of an equilateral triangle=√3×side/4 121√3 = √3×s/4

121√3×4/√3 = s

484 = s

s = 484 cm = circumference of circle

C = 484

2πr = 484

r = 484/2π = 77.07 cm

Area of circle = πr^2 = 3.14 × 5939.8 ~ 18605.32 cm.sq.