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In the square below, the two semi-circles are congruent. Find the area of the shaded region. If necessary, round your answer to two decimal places.

the square side measures at 8in

In the square below the two semicircles are congruent Find the area of the shaded region If necessary round your answer to two decimal places the square side me class=

Respuesta :

elbunt
let's start with the area of the square
[tex]area \: square = s \times s = 8 \times 8 = 64[/tex]
now let's subtract the are of the two half circles.
two half circles are the same as one circle, and we know that the diameter of the circle is 8 (same as the side of a square) so it's radius is 8/2= 4 inches

[tex]area \: circle = \pi {r}^{2} = \pi \times {4}^{2} = 16\pi[/tex]
now we just subtract and our answer is

[tex]64 - 16\pi = 64 - 16 \times (3.14) = 13.73[/tex]
srastiuts023

The area of the shaded region is 13.73

What is the area of a shape?

The area of a shape is the “space enclosed within the perimeter of the boundary” of the given shape.

What is an area in math?

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. The area is measured in square units such as square centimeters, square feet, square inches, etc.

What's an area of a square?

In other words, the area of a square is the product of the length of each side with itself. That is, Area A = s x s where s is the length of each side of the square. For example, the area of a square of each side of length 8 feet is 8 times 8 or 64 square feet.

Learn more about An area of a square at https://brainly.com/question/4102299

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