Question

Help me with this, please!!

Answer 1

Area of the sector = 78.54 square meters

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 =
`(\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 =
`(90)/(360)(\pi)(10)^(2)`

= 25π

= 78.54 square meters