Step 1: Find the area of the rectangle
Area of a rectangle = base x height
Area of the rectangle = 4 x 10 = 40
Step 2: Find the area of the half-circle
Area of a circle = pi x r^2
---In this case, since we only have half of a circle, we will need to divide the area by 2 (or multiply by 1/2).
---We are also only given the diameter here. The radius of a circle is half of its diameter, therefore the radius of this half-circle is 5.
Area of the half-circle = (pi x 5^2) / 2 = (3.14 x 25) / 2 = (78.5) / 2 = 39.25
Rounded area of the half-circle = 39.3
Step 3: Find the area of the figure
Now that we know both parts of the figure, all that's left to do is add them together to find the total area.
40 + 39.3 = 79.3
Answer: 79.3
Hope this helps!