The perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.
What is Area of Circle?
In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159
According to question, the radius of the partial circle with center A is 4 feet.
We have to find the perimeter and area of the figure.
Perimeter of the figure=2πr×[tex]\frac{3}{4}[/tex] +[tex]4\sqrt{2}[/tex]
=2×[tex]3.14[/tex]×[tex]4[/tex]×[tex]0.75+4[/tex]×[tex]1.414[/tex]
[tex]=24.50[/tex]
Area of figure=[tex]\frac{3}{4}[/tex] πr²+[tex]r^{2}[/tex]×[tex]\frac{1}{2}[/tex]
=[tex]0.75[/tex]×[tex]3.14[/tex]×[tex]16[/tex][tex]+16[/tex]×[tex]0.5[/tex]
[tex]=37.68+8[/tex]
[tex]=45.68[/tex]
Hence, we can conclude that the perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.
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