Question

the area of a circle inscribed in an equeletral triangle is 154 cm^ find the area of the triangle not included in the circle​

Answer 1

Answer:

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

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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Perimeter of triangle, 

Perimeter of triangle = 42(1.73) = 72.66 cm

Read more on Brainly.in - https://brainly.in/question/46907#readmore