If you are a baker and you want to create a circular cake with a specific flavor, you need to know the appropriate amount of batter needed for the specified sector of the cake. Knowing the area of the sector allows you to calculate the amount of batter needed to fill the sector of the cake and bake it correctly.
A real-world example where you may need to calculate the area of a sector of a circle is in the field of agriculture. Farmers often use circular sprinklers to irrigate their fields. When adjusting the spray pattern of the sprinkler, they need to know the area covered by the sector of the circle. By knowing the area, they can determine the quantity of water needed to adequately irrigate the specific area of their crops. This allows them to optimize water usage and ensure that each crop receives the necessary amount of water for growth and development.
