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dexteright02
Data:
[tex] A_{cB} = 144 \pi ft^2[/tex]
Circumference length = ?

Note¹: Knowing that the area of ​​the circle "B" is calculated by the following formula: [tex]A_{cB} = \pi *r^2[/tex], using the data we have will find the value of the radius.

Data: [tex] A_{cB} = 144 \pi ft^2[/tex]

Solving:
[tex]A_{cB} = \pi *r^2[/tex]
[tex]144 \pi = \pi *r^2[/tex]
[tex]\pi *r^2 = 144 \pi[/tex]
[tex]r^2 = \frac{144 \diagup\!\!\!\!\!\pi }{ \diagup\!\!\!\!\!\pi } [/tex]
[tex]r = \sqrt{144} [/tex]
[tex]\boxed{r = 12\:ft}[/tex]

Note²: Now, we will find the size of the circumference with the data already collected, so we will have:

Formula: [tex]C = 2* \pi *r[/tex]
Adopting: [tex] \pi \approx 3.14[/tex]

Solving:
[tex]C = 2* \pi *r[/tex]
[tex]C = 2* 3.14 *12[/tex]
[tex]\boxed{\boxed{C \approx 75.36\:ft}}\end{array}}\qquad\quad\checkmark[/tex]

The area of circle B of radius 12 ft is 144 pi ft² then the circumference of circle B would be equal to 75.36 ft.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

The area of circle B is given as 144 pi ft². We need to find the circumference of the circle.

The area of the circle = [tex]\pi r^{2}[/tex]

144 π ft² = [tex]\pi r^{2}[/tex]

144 = r^2

r = √144

r = 12 ft

Now,

The circumference of the circle = 2πr

= 2 x π x r

= 2 x 3.14 x 12

= 75.36

Thus, the circumference of circle B is 75.36 ft.

Learn more about circumference here;

brainly.com/question/12512221

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