Question

area of acircle incribe in equalater triangle =154 find the perimeter of the triangle
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Answer 1

Answer:

72.66cm

Step-by-step explanation:

The area of the circle=154 cm²

therefore, πr²=154 cm²

or,22r²/7=154 cm²

or,r²=154 cm²*7/22=49 cm²

or,r=7 cm.

Let the side of the triangle be x cm.

Therefore, semi perimeter=3x/2

the Radius of the circle=Area/Semi Perimeter of Δ.

or,7=(√3/4*x²)/(3x/2)

or,7=(√3*x)(3*2)

or,7=(√3*x)/6

or,7*6=√3*x

or,42=√3*x

or,42/√3=x

or,x=42/√3

Perimeter=42/√3*3=42√3=42*1.73=72.66 cm

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