Question

Help me with this, please!!

Answer 1

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 = $\frac{\theta}{360}(\pi r^{2})$

Here angle θ is the angle at the center subtended by the arc.

If angle θ = 90°

Therefore, area of the sector = $\frac{90}{360}(\pi)(10)^{2}$

                                                = 25π

                                                = 78.54 square meters