Respuesta :

Answer:

Diameter of the circle is 8.4 units

Step-by-step explanation:

To find the diameter of a circle with area of 56 square units, we will follow the steps below:

write the formula for calculating the area of a circle

area of a circle = πr²

from the question area= 56 units .

π is a constant which is ≈ 3.14

we can now proceed to substitute the values into the formula and solve for r

area of a circle = πr²

56 = 3.14×r²

divide both-side of the equation by 3.14

17.83 = r²

take the square root of both-side

√17.83 = √r²

4.2 =r

r= 4.2 units

but diameter = 2 r

diameter = 2×4.2

diameter = 8.4 units

Diameter of the circle is 8.4 units

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