The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
7.1 square feet
9.4 square feet
18.8 square feet
28.3 square feet

Respuesta :

7.1

Use the formula of a circle. The radius is 1.5 and squared that is 2.25. Multiply that by 3.14 for your answer. 

Answer:

7.1  square feet

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

In order to solve this we will need the formula that calculates the Area of a Circle. The formula is the following,

[tex]A = \pi r^{2}[/tex]

Where:

  • A is the area of the circle
  • r is the radius of the circle

We are given the diameter of the circle in the question but based on the formula we need the radius. The radius is half of the diameter. Therefore,

[tex]r = 3ft / 2[/tex]

[tex]r = 1.5[/tex]

Now that we have the radius we can plug it into the formula to find the area of the circle.

[tex]A = \pi 1.5^{2}[/tex]

[tex]A = \pi 2.25[/tex]

[tex]A = 7.06 [/tex]

Based on the calculations above we can see that 7.1 [tex]ft^{2}[/tex] (rounded to the nearest tenth) needs to painted

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.