Answer:
Area of the sector = 78.54 square meters
Step-by-step explanation:
Radius of the given circle = 10 meters
Sector bounded by the arc having measure = 90°
Angle subtended by the arc at the center = 90°
Area of the sector = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here angle θ is the angle at the center subtended by the arc.
If angle θ = 90°
Therefore, area of the sector = [tex]\frac{90}{360}(\pi)(10)^{2}[/tex]
= 25π
= 78.54 square meters
