Area of the figure is 71.13
Step-by-step explanation:
- Step 1: Area of the figure can be found out by considering the parts individually as a semicircle, rectangle and a right triangle. Then add all the areas.
Find the area of the semicircle. Here, radius = 3.
Area = 1/2 πr² = 1/2 × 3.14 × 3² = 14.13
- Step 2: Find the area of the rectangle. Here, width = 6 and length = 8
Area = length × width = 8 × 6 = 48
- Step 3: Find the area of the right triangle. Here the height = width of the rectangle = 6 and base = 11 - 8 = 3
Area = 1/2 × base × height = 1/2 × 3 × 6 = 9
- Step 4: Find the total area.
Area of the figure = 14.13 + 48 + 9 = 71.13