Answer:
[tex]1230.88m^{2}[/tex]
Step-by-step explanation:
Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.
The area for a whole circle is [tex]2\pi r^{2}[/tex].
Using that information, we can find the area as if the circle was whole instead of just the fourth.
[tex]2(\pi)(28m)^2 = 2(3.14)(784m^{2} ) = 4923.52m^{2}[/tex]
Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.
[tex]4923.52m^{2} / 4 = 1230.88m^{2}[/tex]
That means that the area of the shape shown is [tex]1230.88m^{2}[/tex].
I hope this helps!
