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A circular swimming pool has a diameter of the 26 feet.

What is the area of the swimming pool?

Use 3.14 to approximate for π .

Enter your answer, as a decimal rounded to the nearest tenth, in the box.


___ft2

Respuesta :

Creati
Hey there! :)

The formula for finding area of circles is: π · r²

Remember that radius is half the diameter. To find radius when the diameter is given, divide by 2

d = 26

26 ÷ 2 = 13
_____________________________________________________________

π · r²

r = 13
13² = 13 × 13 = 169

169 × 3.14 = 530.66 = 530.7

The area of the swimming pool is 530.7 ft²

Hope this helps :)
kanest
The area of a circle is given by the following formula:

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

r is the radius of the circle.

We are given a diameter of 26 feet. Because the area formula uses the radius, we must divide the diameter by 2 to find the radius:

[tex]26 \div 2 = 13[/tex]

The radius of the swimming pool is 13. Now we can plug in all of our values into the formula:

[tex]\pi = 3.14, r = 13[/tex]
[tex]A = 3.14 \times 13^{2}[/tex]
[tex]A = 3.14 \times 169[/tex]
[tex]A = 530.66[/tex]

Because we are rounding to the tenths place, look at the hundredths digit:

530.66
6 > 5
530.66 -> 530.7

The area of the swimming pool rounded to the nearest tenth is 530.7 square feet.

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