Answer:
The area of the circular sector is approximately 39.269 square meters.
Step-by-step explanation:
A circular sector is a segment of a circle, whose area ([tex]A[/tex]), measured in square meters, is determined by this formula:
[tex]A = \frac{\theta}{2} \cdot r^{2}[/tex] (1)
Where:
[tex]\theta[/tex] - Central angle, measured in radians.
[tex]r[/tex] - Radius, measured in meters.
If we know that [tex]\theta = \frac{\pi}{4}[/tex] and [tex]r = 10\,m[/tex], then the area of the circular sector is:
[tex]A = \frac{\pi}{8} \cdot (10\,m)^{2}[/tex]
[tex]A \approx 39.269\,m^{2}[/tex]
The area of the circular sector is approximately 39.269 square meters.
