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Square ABCD has side length a. Half circles with
diameters BC and CD are drawn inside the
square. Find the area of the
shaded region.

Square ABCD has side length a Half circles with diameters BC and CD are drawn inside the square Find the area of the shaded region class=

Respuesta :

abidemiokin

The area of the shaded region is [tex]0.215a^2[/tex]

Area of composite objects

The area of the shaded region is expressed according to the formula:

  • [tex]A = A_s - A_c[/tex]

Get the area of the square As

As = a²

[tex]A_c = \pi (0.5a)^2\\ A_c = 0.785a^2[/tex]

Take the difference in the areas

Area of the shaded part = [tex]a^2-0.785a^2\\ [/tex]

Area of the shaded part = [tex]0.215a^2[/tex]

Hence the area of the shaded region is [tex]0.215a^2[/tex]

Learn more on area of composite objects here: https://brainly.com/question/22716761

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