Respuesta :

Hi there!

To solve this problem, we need to find the area of the circle and divide that by 2 to get the area of the semicircle, and then add that to the area of the rectangle.

First, let's find the area of the semicircle.

Since the area of a circle is calculated by pi × r^2 and diameter = 2r, we divide the diameter by 2 and plug it into the formula.

10 ÷ 2 = 5
pi × 5^2
= pi × 25
= 25pi
25pi ÷ 2 = 12.5pi

Now, let's find the area of the rectangle.
4 × 10 = 40

We add the areas together:

12.5pi + 40 = 79.27

So, the area is 79.27.

Hope this helps!

so that figure is basically made out of a rectangle + half of a circle

Area of a circle : pi × radius^2
r = 5 
area : 78.54
but we need half of it. so divide it by 2

39.27

area of the rectangle on the bottom : 10 × 4 = 40

40 + 39.27 = 79.27

so your answer is 79.27 in²