your ultra-modern store is one-story round. your square footage is 31,416. What is the diameter of you store ? Area of a circle = ttr^2

Respuesta :

Answer:

199.96 feet

Step-by-step explanation:

The base of the ultra-modern store is of a round shape.

The area of the base is 31416 square feet.

We have to find the diameter of the base.

Now, the area of a circle is given by [tex]A = \pi r^{2}[/tex]

⇒ [tex]31416 = \frac{22}{7} \times r^{2}[/tex]

⇒ [tex]r^{2} = \frac{31416 \times 7}{22} = 9996[/tex]

[tex]r= \sqrt{9996} = 99.97[/tex] feet.

Therefore, diameter = 2r = 199.96 feet. (Answer)

Answer:

200 sq ft

The answer choice is 200