EDUMAX (Tharuka Withana) O/L - Mathematics - Provincial Past Papers - Surface Area \& Volume - (take \( \pi=\frac{22}{7} \) for the following calculations) (i) Find the area of the sector ABD. (ii) If the area of the portion BCD is equal to the area of ABD sector, find BC length. (iii) Find AD arc length. (iv) If DC Iength to the nearest centimeter is 13 , find the perimeter of the decoration to the nearest centimeter. (v) Instead of the ABD portion, a rectangular shaped portion, with the same area of AB is needed to attach to the same side, taking DB as one side of the rectangle. Draw sketch of it with relevant measurements in the same figure. 08. A rectangular shaped door design is shown in the figure. Except the two semi circ

Did you know that the concept of the sector in a circle dates back to ancient civilizations? The use of circular shapes for practical applications can be traced to the Egyptians and Greeks, who utilized geometry in architecture and astronomy. The iconic structures of the Parthenon and the precise measurements of sundials showcase the beauty of circular sectors long before modern mathematics formalized our understanding! When it comes to real-world applications, the calculations of surface area and volume are not just academic exercises; they play crucial roles in fields like construction and packaging. For instance, architects must calculate the surface area of curved features in buildings to determine material costs, while engineers design containers with specific volumes to optimize space and resources. Understanding these principles can help make smarter, more efficient design choices in everyday projects!