Question

A piece of wire is bent into an equilateral triangle with each side 11 cm. If the same wire is bent in the form of a circle, find it’s area.

Answer 1

area of circle is 363 cm^2

Answer 2

All sides of equilateral triangle=11cm
Perimeter=11+11+11=33cm

Perimeter of triangle=Perimeter of circle
33cm=33cm

perimeter(circumference)of circle=2πr
33=2×22/7×r
33=44r/7
33×7/44=r
231/44=r
r=5.25cm

Area of circle=πr^2
=22/7×(5.25)^2
=22/7×27.56
606.32/7
=86.61714cm^2.