The area of the shaded sector with a 160° central angle and 18m radius is approximately 72.729 m².
The area of the shaded sector is:
As = (θ/360)πr^2
where:
`As` is the area of the sector
θ` is the central angle of the sector (in degrees)
`π` is the mathematical constant pi (approximately 3.14159)
`r` is the radius of the circle
In this case, the central angle of the sector is 160 degrees, and the radius of the circle is 18 meters.
Therefore, the area of the shaded sector is:
As = (160/360) * 3.14159 * 18^2
= 72.729 m²
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