Question

area of circle inscribed in an equilateral triangle is 154 cm square find the perimeter of the triangle

Answer 1

Hello

Here is your answer

Area of circle=154 cm²

πr²=154

22/7xr²=154

r²=154x7/22

r²=1078/22

r²=49

r=√49

r=7cm

Diameter of circle=Altitude of triangle

2x7=√3/2xs

14=√3s/2

√3s=14x2

√3s=28

s=28/√3

s=16.16

s=16.2 cm approximately

Perimeter of equilateral Δ=3s

=3(16.2)

=48.6cm

Hope it helps you...