The area of yellow region is 5.375 square feet
Step-by-step explanation:
The figure contains a circle inscribed in a square
In order to find the area of yellow region we have to find the area of circle and then subtract it from the square's area.
So,
Side of square = 5 ft
[tex]Area\ of\ square = side*side\\= 5*5\\=25\ ft^2[/tex]
The diameter of circle is 5 ft then the radius will be:
r = d/2 = 5/2 = 2.5 ft
[tex]Area\ of\ circle = \pi r^2\\= 3.14 * (2.5)^2\\=3.14 * 6.25\\=19.625\ ft^2[/tex]
Now,
[tex]Area\ of\ yellow\ region = Area\ of\ square - Area\ of\ circle\\= 25 - 19.625\\=5.375\ ft^2[/tex]
Hence,
The area of yellow region is 5.375 square feet
Keywords: Area, circle
Learn more about area of shapes at:
- brainly.com/question/4021035
- brainly.com/question/4034547
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