Question

hello loves!! I've been stuck on this question for like 2 hours lol! i need some help, ill give 100 points :)

Answer 1

61.13 units squared

Explanation:

This figure is composed of a semicircle and a triangle. Let's find these areas separately:

1) SEMICIRCLE:

The area of a semicircle is:
`A=(\pi r^2)/(2)` , where r is the radius (which is the distance from the center to a point on the circle). In this case, the radius of the circle is 4. So, we have:

`A=(\pi *4^2)/(2) =(16\pi )/(2) =8\pi` ≈ 25.13 units squared

2) TRIANGLE:

The area of a triangle is:
`A=(bh)/(2)` , where b is the base and h is the height. Here, the base is 8 (b = 8) and the height is 9 (h = 9). So, we have:

`A=(8*9)/(2) =(72)/(2) =36` units squared

Finally, we add these two areas together:

25.13 + 36 = 61.13 units squared.

Hope this helps!

Answer 2

61.12 units²

Explanation:

(½ × pi × r²) + (½ × b × h)

½ [(3.14 × 4²) + (8 ×9)]

½(122.24)

61.12 units²