Answer:
Step-by-step explanation:
The formula for the area of a sector is
[tex]A=\frac{\theta}{360}*\pi r^2[/tex] where theta is the measure of the central angle (which is the same measure as that of the arc that is intercepted by the 2 radii formig the angle), and r is the radius.
For us, theta is 90 degrees and r is 20. Filling in the formula:
[tex]A=\frac{90}{360}*(3.14)(20)^2[/tex] which simplifies down a bit to
[tex]A=\frac{1256}{4}[/tex] so
A = 314 m squared
