Help me with this, please!!

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 =

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

If angle θ = 90°

Therefore, area of the sector =

                                                = 25π

                                                = 78.54 square meters

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.