Regular decagon is a closed shaped polygon witch has ten sides.In a regular decagon all ten sides are equal. The area of the given regular decagon is near 663.1 squared units. Thus the option 3 is the correct option.
The radius of a regular decagon is 15 units.
The length of one side of the polygon measures about 9.3 units.
Regular decagon is a closed shaped polygon witch has ten sides.In a regular decagon all ten sides are equal.
The area of the regular decagon with side [tex]a[/tex] can be given as,
[tex]A=\dfrac{5}{2} a^2\sqrt{5+2\sqrt{5} }[/tex]
Thus the area of the regular decagon having the the side length equal to the 9.3 units is,
[tex]A=\dfrac{5}{2} \times(9.3)^2\times\sqrt{5+2\sqrt{5} }\\A=665.47[/tex]
Thus the area of the regular decagon having the the side length equal to the 9.3 units is 665.47 squared units..
The area of the regular decagon is in decimal form. When 665.47 is rounded to the nearest tenth the value is 670 squared units.
Hence the area of the given regular decagon is near 663.1 squared units. Thus the option 3 is the correct option.
Learn more about the regular decagon here;
https://brainly.com/question/345635
