A wire is in the form of an equaliteral triangle with area 5 meter square. If it changed into an circle what will be radius of the circle?
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Answer:
(1.65).A. cm^2
Step-by-step explanation:
Let the length of each side of an equilateral triangle is x cms. ,then area of triangle
is. (√3.x^2)/4 cm^2. and the length of wire is 3x cms. , accordingly:-
(√3.x^2)/4=A. or. x^2 = 4A/√3……………..(1).
Now the same wire is bent to form a circle of radius r cms.,therefore
2.π.r = 3x. or. r= 3x/2.π…………………….(2)
Area of the circle = π.r^2 = π. (9.x^2/4.π^2).
= 9.x^2/4π. Putting x^2 = 4.A/√3 from eqn. (1).
= 9.4.A/4π.√3.
= 3√3.A.7/22.
=(21√3/22).A cms^2.= (21×1.732/22).A = (1.65).A. cm^2. Answer
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Hi fast question and answer his right
(1.65) =A:cm.2
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