Answer:
diameter ≈ 11 feet
Step-by-step explanation:
The area (A) of a circle is calculated using the formula
A = πr² ← r is the radius
To find r divide both sides of the equation by π
r² = [tex]\frac{A}{\pi }[/tex] = [tex]\frac{95.03}{\pi }[/tex]
Take the square root of both sides
r = [tex]\sqrt{\frac{95.03}{\pi } }[/tex] ≈ 5.5 feet
Diameter = 2r = 2 × 5.5 = 11 feet
A circle is a curve sketched out by a point moving in a plane. The diameter of the circle whose area is 950.3 square feet is 11 feet.
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As it is given that the area of the circle is 95.03 square feet. Therefore, if we apply the area of the circle, we will get,
[tex]\text{Area of the circle} = \pi r^2[/tex]
where r is the radius of the circle,
[tex]\rm 95.03 = \pi r^2\\\\r = \sqrt{\dfrac{95.03}{\pi}}\\\\r = 5.4999 \approx \rm 5.5\ feet[/tex]
The radius of the circle is half the diameter of the circle, therefore, the diameter of the circle,
[tex]\rm Radius = \dfrac{Diameter}{2}\\\\5.5 \times 2 = Diameter\\\\Diameter = 11\ feet[/tex]
Thus, the diameter of the circle whose area is 950.3 square feet is 11 feet.
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