Respuesta :
The value of x nearest hundredth of an inch is 18.19 inches.
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Given that total area of the window is 463 square inches
We will need to write an equation using area of a square an area of a semi circle to find the approximate value of x and we know the total area of the window.
Area of square = [tex]x^{2}[/tex]
The area of the semicircle = [tex]\frac{1}{2}[/tex]πr²
So the radius squared would be 1/4 X squared
And the total area is 463.
We've got to clean this up two times pi times 1/4 that would be 1/8 times pi .
Combine like terms which would be 1.4 x squared.
Divide both sides by 1.4 and take the positive square root.
182x=18
Round to the nearest 100th which would be 18.19.
So value of x which is diameter of semicircle nearest 100th is = 18.19
To learn more about semicircle area and value visit: brainly.com/question/29393120
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