Respuesta :

Answer:

113.04

Step-by-step explanation:

The area of the square is 144 which means the length of each side of the square is 12. When the length on one side is 12 the radius of the circle will be half of the whole length. In this case, it means the radius is going to be 6. When we find the radius, we can use the formula r^2pie to find the area for the circle.

6 * 6 * 3.14

= 113.04

semsee45

Answer:

Area = 113.04 in²

Step-by-step explanation:

Given:

  • Area of the square = 144 in²

Calculate the side length of the given square:

Area of a square = s²  (where s is the side length)

⇒ 144 = s²

⇒ s = √(144)

⇒ s = 12 in

The side length of the square is equal to the diameter of the circle.

Calculate the radius of the circle:

Diameter of a circle = 2r (where r is the radius)

⇒ 12 = 2r

⇒ r = 6 in

Now we have determined the radius of the circle, we can calculate the area of the circle:

Area of a circle = πr²

⇒ Area = 3.14 · 6²

⇒ Area = 3.14 · 36

⇒ Area = 113.04 in²

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